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525142241525 = 52112831720873
BaseRepresentation
bin1111010010001001110…
…10101011000011110101
31212012111001202220202002
413221010322223003311
532100442403212100
61041125204425045
752640341255136
oct7510472530365
91765431686662
10525142241525
11192791117700
12859390a8185
133a69cc97975
141b5ba435c8d
15d9d80512d5
hex7a44eab0f5

525142241525 has 36 divisors (see below), whose sum is σ = 715876209636. Its totient is φ = 381857414400.

The previous prime is 525142241497. The next prime is 525142241537.

525142241525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 4769007364 + 520373234161 = 69058^2 + 721369^2 .

It is not a de Polignac number, because 525142241525 - 210 = 525142240501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25148489 + ... + 25169361.

Almost surely, 2525142241525 is an apocalyptic number.

525142241525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525142241525 is a deficient number, since it is larger than the sum of its proper divisors (190733968111).

525142241525 is a wasteful number, since it uses less digits than its factorization.

525142241525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29222 (or 29206 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

It can be divided in two parts, 525142 and 241525, that added together give a palindrome (766667).

The spelling of 525142241525 in words is "five hundred twenty-five billion, one hundred forty-two million, two hundred forty-one thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 8317 20873 41585 91487 104365 207925 229603 457435 521825 1006357 1148015 2287175 2525633 5031785 5740075 12628165 25158925 63140825 173600741 868003705 1909608151 4340018525 9548040755 21005689661 47740203775 105028448305 525142241525