10057257556625 has 8 divisors (see below), whose sum is σ = 12551457430824. Its totient is φ = 8045806045200.

The previous prime is 10057257556613. The next prime is 10057257556667. The reversal of 10057257556625 is 52665575275001.

It can be written as a sum of positive squares in 4 ways, for example, as 302623212544 + 9754634344081 = 550112^2 + 3123241^2 .

It is not a de Polignac number, because 10057257556625 - 2¹⁸ = 10057257294481 is a prime.

It is a super-2 number, since 2×10057257556625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40229030102 + ... + 40229030351.

It is an arithmetic number, because the mean of its divisors is an integer number (1568932178853).

Almost surely, 2^{10057257556625} is an apocalyptic number.

It is an amenable number.

10057257556625 is a deficient number, since it is larger than the sum of its proper divisors (2494199874199).

10057257556625 is an frugal number, since it uses more digits than its factorization.

10057257556625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80458060468 (or 80458060458 counting only the distinct ones).

The product of its (nonzero) digits is 22050000, while the sum is 56.

The spelling of 10057257556625 in words is "ten trillion, fifty-seven billion, two hundred fifty-seven million, five hundred fifty-six thousand, six hundred twenty-five".