257153835 has 32 divisors (see below), whose sum is σ = 430755840. Its totient is φ = 130838400.

The previous prime is 257153833. The next prime is 257153843. The reversal of 257153835 is 538351752.

It is not a de Polignac number, because 257153835 - 2¹ = 257153833 is a prime.

It is a super-2 number, since 2×257153835² = 132256189710414450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257153793 and 257153802.

It is not an unprimeable number, because it can be changed into a prime (257153833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29121 + ... + 36909.

It is an arithmetic number, because the mean of its divisors is an integer number (13461120).

Almost surely, 2^257153835 is an apocalyptic number.

257153835 is a deficient number, since it is larger than the sum of its proper divisors (173602005).

257153835 is a wasteful number, since it uses less digits than its factorization.

257153835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899.

The product of its digits is 126000, while the sum is 39.

The square root of 257153835 is about 16036.0168059278. The cubic root of 257153835 is about 635.9129489060.

The spelling of 257153835 in words is "two hundred fifty-seven million, one hundred fifty-three thousand, eight hundred thirty-five".