525812066641 has 9 divisors (see below), whose sum is σ = 528896534313. Its totient is φ = 522745496100.

The previous prime is 525812066599. The next prime is 525812066651. The reversal of 525812066641 is 146660218525.

The square root of 525812066641 is 725129.

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

It is not a de Polignac number, because 525812066641 - 2²⁹ = 525275195729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 525812066591 and 525812066600.

It is not an unprimeable number, because it can be changed into a prime (525812066651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129796066 + ... + 129800116.

Almost surely, 2^525812066641 is an apocalyptic number.

525812066641 is the 725129-th square number.

525812066641 is the 362565-th centered octagonal number.

It is an amenable number.

525812066641 is a deficient number, since it is larger than the sum of its proper divisors (3084467672).

525812066641 is an frugal number, since it uses more digits than its factorization.

525812066641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 525812066641 in words is "five hundred twenty-five billion, eight hundred twelve million, sixty-six thousand, six hundred forty-one".