257152563 has 28 divisors (see below), whose sum is σ = 387971280. Its totient is φ = 170360496.

The previous prime is 257152561. The next prime is 257152579. The reversal of 257152563 is 365251752.

257152563 is a `hidden beast` number, since 2 + 5 + 71 + 525 + 63 = 666.

It is not a de Polignac number, because 257152563 - 2¹ = 257152561 is a prime.

It is a super-2 number, since 2×257152563² = 132254881314937938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257152561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125098 + ... + 127136.

Almost surely, 2^257152563 is an apocalyptic number.

257152563 is a deficient number, since it is larger than the sum of its proper divisors (130818717).

257152563 is an equidigital number, since it uses as much as digits as its factorization.

257152563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2215 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 257152563 is about 16035.9771451571. The cubic root of 257152563 is about 635.9119003992.

The spelling of 257152563 in words is "two hundred fifty-seven million, one hundred fifty-two thousand, five hundred sixty-three".