257071131 has 8 divisors (see below), whose sum is σ = 380846160. Its totient is φ = 171380736.

The previous prime is 257071103. The next prime is 257071259. The reversal of 257071131 is 131170752.

It is a happy number.

257071131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257071131 - 2¹¹ = 257069083 is a prime.

It is a super-2 number, since 2×257071131² = 132171132787238322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9521153 = 257071131 / (2 + 5 + 7 + 0 + 7 + 1 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 257071095 and 257071104.

It is not an unprimeable number, because it can be changed into a prime (257070131) 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, 4760550 + ... + 4760603.

It is an arithmetic number, because the mean of its divisors is an integer number (47605770).

Almost surely, 2^257071131 is an apocalyptic number.

257071131 is a deficient number, since it is larger than the sum of its proper divisors (123775029).

257071131 is an equidigital number, since it uses as much as digits as its factorization.

257071131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521162 (or 9521156 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 257071131 is about 16033.4379033319. The cubic root of 257071131 is about 635.8447689860.

The spelling of 257071131 in words is "two hundred fifty-seven million, seventy-one thousand, one hundred thirty-one".