257513151 has 16 divisors (see below), whose sum is σ = 392670464. Its totient is φ = 147049344.

The previous prime is 257513149. The next prime is 257513153. The reversal of 257513151 is 151315752.

It is an interprime number because it is at equal distance from previous prime (257513149) and next prime (257513153).

It is not a de Polignac number, because 257513151 - 2¹ = 257513149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257513153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36060 + ... + 42606.

It is an arithmetic number, because the mean of its divisors is an integer number (24541904).

Almost surely, 2^257513151 is an apocalyptic number.

257513151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257513151 is a deficient number, since it is larger than the sum of its proper divisors (135157313).

257513151 is a wasteful number, since it uses less digits than its factorization.

257513151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430.

The product of its digits is 5250, while the sum is 30.

The square root of 257513151 is about 16047.2163006548. The cubic root of 257513151 is about 636.2089939516.

The spelling of 257513151 in words is "two hundred fifty-seven million, five hundred thirteen thousand, one hundred fifty-one".