257120151 has 16 divisors (see below), whose sum is σ = 358387200. Its totient is φ = 163660640.

The previous prime is 257120137. The next prime is 257120161. The reversal of 257120151 is 151021752.

It is not a de Polignac number, because 257120151 - 2¹⁰ = 257119127 is a prime.

It is a super-2 number, since 2×257120151² = 132221544100525602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257120111) 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, 38221 + ... + 44441.

It is an arithmetic number, because the mean of its divisors is an integer number (22399200).

Almost surely, 2^257120151 is an apocalyptic number.

257120151 is a deficient number, since it is larger than the sum of its proper divisors (101267049).

257120151 is a wasteful number, since it uses less digits than its factorization.

257120151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846.

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 257120151 is about 16034.9665107227. The cubic root of 257120151 is about 635.8851820933.

It can be divided in two parts, 2571 and 20151, that added together give a palindrome (22722).

The spelling of 257120151 in words is "two hundred fifty-seven million, one hundred twenty thousand, one hundred fifty-one".