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2522135525 = 527131923783
BaseRepresentation
bin1001011001010100…
…1011101111100101
320111202211202111212
42112111023233211
520131131314100
61054134041205
7116333540540
oct22625135745
96452752455
102522135525
111084752828
125a47a9205
133126ac8b0
1419cd73857
15eb64e635
hex9654bbe5

2522135525 has 144 divisors (see below), whose sum is σ = 4222479744. Its totient is φ = 1453800960.

The previous prime is 2522135467. The next prime is 2522135531. The reversal of 2522135525 is 5255312252.

It is not a de Polignac number, because 2522135525 - 216 = 2522069989 is a prime.

It is a super-2 number, since 2×25221355252 = 12722335212934051250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2522135491 and 2522135500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30387134 + ... + 30387216.

It is an arithmetic number, because the mean of its divisors is an integer number (29322776).

Almost surely, 22522135525 is an apocalyptic number.

2522135525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2522135525 is a deficient number, since it is larger than the sum of its proper divisors (1700344219).

2522135525 is a wasteful number, since it uses less digits than its factorization.

2522135525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its digits is 30000, while the sum is 32.

The square root of 2522135525 is about 50220.8674258022. The cubic root of 2522135525 is about 1361.2027143619.

Adding to 2522135525 its reverse (5255312252), we get a palindrome (7777447777).

The spelling of 2522135525 in words is "two billion, five hundred twenty-two million, one hundred thirty-five thousand, five hundred twenty-five".

Divisors: 1 5 7 13 19 25 35 37 65 83 91 95 133 175 185 247 259 325 361 415 455 475 481 581 665 703 925 1079 1235 1295 1577 1729 1805 2075 2275 2405 2527 2905 3071 3325 3367 3515 4693 4921 5395 6175 6475 7553 7885 8645 9025 9139 11039 12025 12635 13357 14525 15355 16835 17575 20501 21497 23465 24605 26975 29963 32851 37765 39425 39923 43225 45695 55195 58349 63175 63973 66785 76775 84175 93499 102505 107485 117325 123025 143507 149815 164255 173641 188825 199615 209741 228475 275975 279461 291745 319865 333925 389519 408443 467495 512525 537425 717535 749075 758537 821275 868205 998075 1048705 1108631 1215487 1397305 1458725 1599325 1947595 2042215 2337475 2726633 3587675 3792685 4341025 5243525 5309759 5543155 6077435 6986525 7760417 9737975 10211075 13633165 14412203 18963425 26548795 27715775 30387175 38802085 68165825 72061015 100885421 132743975 194010425 360305075 504427105 2522135525