257525461 has 2 divisors, whose sum is σ = 257525462. Its totient is φ = 257525460.

The previous prime is 257525431. The next prime is 257525483. The reversal of 257525461 is 164525752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252619236 + 4906225 = 15894^2 + 2215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257525461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257525461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257525431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128762730 + 128762731.

It is an arithmetic number, because the mean of its divisors is an integer number (128762731).

Almost surely, 2^257525461 is an apocalyptic number.

It is an amenable number.

257525461 is a deficient number, since it is larger than the sum of its proper divisors (1).

257525461 is an equidigital number, since it uses as much as digits as its factorization.

257525461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84000, while the sum is 37.

The square root of 257525461 is about 16047.5998516912. The cubic root of 257525461 is about 636.2191314377.

It can be divided in two parts, 2575254 and 61, that added together give a triangular number (2575315 = T₂₂₆₉).

The spelling of 257525461 in words is "two hundred fifty-seven million, five hundred twenty-five thousand, four hundred sixty-one".