10257935525 has 24 divisors (see below), whose sum is σ = 12860698440. Its totient is φ = 8115978240.

The previous prime is 10257935489. The next prime is 10257935539. The reversal of 10257935525 is 52553975201.

It can be written as a sum of positive squares in 12 ways, for example, as 702091009 + 9555844516 = 26497^2 + 97754^2 .

It is not a de Polignac number, because 10257935525 - 2¹⁴ = 10257919141 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828581 + ... + 840869.

It is an arithmetic number, because the mean of its divisors is an integer number (535862435).

Almost surely, 2^10257935525 is an apocalyptic number.

It is an amenable number.

10257935525 is a deficient number, since it is larger than the sum of its proper divisors (2602762915).

10257935525 is a wasteful number, since it uses less digits than its factorization.

10257935525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 44.

The spelling of 10257935525 in words is "ten billion, two hundred fifty-seven million, nine hundred thirty-five thousand, five hundred twenty-five".