257152217 has 16 divisors (see below), whose sum is σ = 312999552. Its totient is φ = 206234880.

The previous prime is 257152201. The next prime is 257152219. The reversal of 257152217 is 712251752.

It is a cyclic number.

It is not a de Polignac number, because 257152217 - 2⁴ = 257152201 is a prime.

It is a super-2 number, since 2×257152217² = 132254525416030178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257152219) 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 15 ways as a sum of consecutive naturals, for example, 14342 + ... + 26832.

It is an arithmetic number, because the mean of its divisors is an integer number (19562472).

Almost surely, 2^257152217 is an apocalyptic number.

It is an amenable number.

257152217 is a deficient number, since it is larger than the sum of its proper divisors (55847335).

257152217 is a wasteful number, since it uses less digits than its factorization.

257152217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688.

The product of its digits is 9800, while the sum is 32.

The square root of 257152217 is about 16035.9663569116. The cubic root of 257152217 is about 635.9116151916.

The spelling of 257152217 in words is "two hundred fifty-seven million, one hundred fifty-two thousand, two hundred seventeen".