257604561 has 12 divisors (see below), whose sum is σ = 378402960. Its totient is φ = 168825240.

The previous prime is 257604559. The next prime is 257604583. The reversal of 257604561 is 165406752.

It is a happy number.

257604561 is a `hidden beast` number, since 25 + 76 + 0 + 4 + 561 = 666.

It is not a de Polignac number, because 257604561 - 2¹ = 257604559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257604511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242035 + ... + 243096.

It is an arithmetic number, because the mean of its divisors is an integer number (31533580).

Almost surely, 2^257604561 is an apocalyptic number.

It is an amenable number.

257604561 is a deficient number, since it is larger than the sum of its proper divisors (120798399).

257604561 is a wasteful number, since it uses less digits than its factorization.

257604561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485196 (or 485193 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257604561 is about 16050.0642054791. The cubic root of 257604561 is about 636.2842638735.

The spelling of 257604561 in words is "two hundred fifty-seven million, six hundred four thousand, five hundred sixty-one".