257012529 has 32 divisors (see below), whose sum is σ = 364694400. Its totient is φ = 160742400.

The previous prime is 257012527. The next prime is 257012531. The reversal of 257012529 is 925210752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257012527) and next prime (257012531).

It is not a de Polignac number, because 257012529 - 2¹ = 257012527 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257012529.

It is not an unprimeable number, because it can be changed into a prime (257012521) 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, 640729 + ... + 641129.

It is an arithmetic number, because the mean of its divisors is an integer number (11396700).

Almost surely, 2^257012529 is an apocalyptic number.

257012529 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

257012529 is a deficient number, since it is larger than the sum of its proper divisors (107681871).

257012529 is a wasteful number, since it uses less digits than its factorization.

257012529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 257012529 is about 16031.6103058925. The cubic root of 257012529 is about 635.7964495361.

The spelling of 257012529 in words is "two hundred fifty-seven million, twelve thousand, five hundred twenty-nine".