257920953 has 16 divisors (see below), whose sum is σ = 362644800. Its totient is φ = 162604800.

The previous prime is 257920951. The next prime is 257920987. The reversal of 257920953 is 359029752.

It is not a de Polignac number, because 257920953 - 2¹ = 257920951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257920951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30493 + ... + 38021.

It is an arithmetic number, because the mean of its divisors is an integer number (22665300).

Almost surely, 2^257920953 is an apocalyptic number.

It is an amenable number.

257920953 is a deficient number, since it is larger than the sum of its proper divisors (104723847).

257920953 is a wasteful number, since it uses less digits than its factorization.

257920953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152.

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 257920953 is about 16059.9175900750. The cubic root of 257920953 is about 636.5446537869.

It can be divided in two parts, 2579 and 20953, that added together give a palindrome (23532).

The spelling of 257920953 in words is "two hundred fifty-seven million, nine hundred twenty thousand, nine hundred fifty-three".