257266053 has 48 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 152224800.

The previous prime is 257266039. The next prime is 257266073. The reversal of 257266053 is 350662752.

It is a happy number.

257266053 is a `hidden beast` number, since 25 + 7 + 26 + 605 + 3 = 666.

257266053 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 257266053 - 2²⁰ = 256217477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257265999 and 257266017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257266003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076308 + ... + 1076546.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^257266053 is an apocalyptic number.

It is an amenable number.

257266053 is a deficient number, since it is larger than the sum of its proper divisors (157868667).

257266053 is a wasteful number, since it uses less digits than its factorization.

257266053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 257266053 is about 16039.5153605089. The cubic root of 257266053 is about 636.0054363485.

The spelling of 257266053 in words is "two hundred fifty-seven million, two hundred sixty-six thousand, fifty-three".