10274557657 has 32 divisors (see below), whose sum is σ = 12824179200. Its totient is φ = 8015293440.

The previous prime is 10274557651. The next prime is 10274557679. The reversal of 10274557657 is 75675547201.

10274557657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10274557657 - 2³ = 10274557649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10274557657.

It is not an unprimeable number, because it can be changed into a prime (10274557651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2043807 + ... + 2048827.

It is an arithmetic number, because the mean of its divisors is an integer number (400755600).

Almost surely, 2^10274557657 is an apocalyptic number.

It is an amenable number.

10274557657 is a deficient number, since it is larger than the sum of its proper divisors (2549621543).

10274557657 is a wasteful number, since it uses less digits than its factorization.

10274557657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353.

The product of its (nonzero) digits is 2058000, while the sum is 49.

The spelling of 10274557657 in words is "ten billion, two hundred seventy-four million, five hundred fifty-seven thousand, six hundred fifty-seven".