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520205502025 = 521121011702661
BaseRepresentation
bin1111001000111101010…
…10100000011001001001
31211201202000102120021101
413210132222200121021
532010340102031100
61034551253141401
752404114544456
oct7443652403111
91751660376241
10520205502025
11190688498200
128499b92a861
133a094288131
141b26c92082d
15d7e994386a
hex791eaa0649

520205502025 has 36 divisors (see below), whose sum is σ = 716047693452. Its totient is φ = 374585200000.

The previous prime is 520205502023. The next prime is 520205502043.

520205502025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 149621824 + 520055880201 = 12232^2 + 721149^2 .

It is not a de Polignac number, because 520205502025 - 21 = 520205502023 is a prime.

It is a super-2 number, since 2×5202055020252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 520205501984 and 520205502002.

It is not an unprimeable number, because it can be changed into a prime (520205502023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 545806 + ... + 1156855.

It is an arithmetic number, because the mean of its divisors is an integer number (19890213707).

Almost surely, 2520205502025 is an apocalyptic number.

520205502025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

520205502025 is a deficient number, since it is larger than the sum of its proper divisors (195842191427).

520205502025 is a wasteful number, since it uses less digits than its factorization.

520205502025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702794 (or 1702778 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The spelling of 520205502025 in words is "five hundred twenty billion, two hundred five million, five hundred two thousand, twenty-five".

Divisors: 1 5 11 25 55 101 121 275 505 605 1111 2525 3025 5555 12221 27775 61105 305525 1702661 8513305 18729271 42566525 93646355 171968761 206021981 468231775 859843805 1030109905 1891656371 4299219025 5150549525 9458281855 20808220081 47291409275 104041100405 520205502025