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520676253241 = 23213722292
BaseRepresentation
bin1111001001110101011…
…10010001111000111001
31211202221211020012112121
413210322232101320321
532012321110100431
61035110111041241
752421562062134
oct7447256217071
91752854205477
10520676253241
111908aa1975a1
1284ab1510221
133a13a96c151
141b2b526121b
15d825e30611
hex793ab91e39

520676253241 has 27 divisors (see below), whose sum is σ = 550705380141. Its totient is φ = 492243875904.

The previous prime is 520676253203. The next prime is 520676253259. The reversal of 520676253241 is 142352676025.

The square root of 520676253241 is 721579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 169970675625 + 350705577616 = 412275^2 + 592204^2 .

It is a de Polignac number, because none of the positive numbers 2k-520676253241 is a prime.

It is a super-2 number, since 2×5206762532412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520676253341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2273695315 + ... + 2273695543.

Almost surely, 2520676253241 is an apocalyptic number.

520676253241 is the 721579-th square number.

520676253241 is the 360790-th centered octagonal number.

It is an amenable number.

520676253241 is a deficient number, since it is larger than the sum of its proper divisors (30029126900).

520676253241 is an frugal number, since it uses more digits than its factorization.

520676253241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 520676253241 in words is "five hundred twenty billion, six hundred seventy-six million, two hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 23 137 229 529 3151 5267 18769 31373 52441 72473 121141 431687 721579 1206143 4298101 7184417 9928801 16596317 27741289 98856323 165241591 984265129 2273695429 3800556593 22638097967 520676253241