257118901 has 16 divisors (see below), whose sum is σ = 289119600. Its totient is φ = 227017728.

The previous prime is 257118899. The next prime is 257118907. The reversal of 257118901 is 109811752.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17023876 + 240095025 = 4126^2 + 15495^2 .

It is a cyclic number.

It is not a de Polignac number, because 257118901 - 2¹ = 257118899 is a prime.

It is a super-2 number, since 2×257118901² = 132220258502895602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257118907) 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, 37965 + ... + 44221.

It is an arithmetic number, because the mean of its divisors is an integer number (18069975).

Almost surely, 2^257118901 is an apocalyptic number.

It is an amenable number.

257118901 is a deficient number, since it is larger than the sum of its proper divisors (32000699).

257118901 is a wasteful number, since it uses less digits than its factorization.

257118901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408.

The product of its (nonzero) digits is 5040, while the sum is 34.

The square root of 257118901 is about 16034.9275333567. The cubic root of 257118901 is about 635.8841516312.

The spelling of 257118901 in words is "two hundred fifty-seven million, one hundred eighteen thousand, nine hundred one".