257081131 has 8 divisors (see below), whose sum is σ = 260994528. Its totient is φ = 253176000.

The previous prime is 257081101. The next prime is 257081141. The reversal of 257081131 is 131180752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257081131 - 2¹⁷ = 256950059 is a prime.

It is a super-2 number, since 2×257081131² = 132181415832478322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257081131.

It is not an unprimeable number, because it can be changed into a prime (257081101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92421 + ... + 95161.

It is an arithmetic number, because the mean of its divisors is an integer number (32624316).

Almost surely, 2^257081131 is an apocalyptic number.

257081131 is a deficient number, since it is larger than the sum of its proper divisors (3913397).

257081131 is a wasteful number, since it uses less digits than its factorization.

257081131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 257081131 is about 16033.7497485772. The cubic root of 257081131 is about 635.8530136110.

The spelling of 257081131 in words is "two hundred fifty-seven million, eighty-one thousand, one hundred thirty-one".