257584057 has 2 divisors, whose sum is σ = 257584058. Its totient is φ = 257584056.

The previous prime is 257583919. The next prime is 257584069. The reversal of 257584057 is 750485752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192765456 + 64818601 = 13884^2 + 8051^2 .

It is a cyclic number.

It is not a de Polignac number, because 257584057 - 2¹⁹ = 257059769 is a prime.

It is not a weakly prime, because it can be changed into another prime (257584087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128792028 + 128792029.

It is an arithmetic number, because the mean of its divisors is an integer number (128792029).

Almost surely, 2^257584057 is an apocalyptic number.

It is an amenable number.

257584057 is a deficient number, since it is larger than the sum of its proper divisors (1).

257584057 is an equidigital number, since it uses as much as digits as its factorization.

257584057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392000, while the sum is 43.

The square root of 257584057 is about 16049.4254414294. The cubic root of 257584057 is about 636.2673817724.

The spelling of 257584057 in words is "two hundred fifty-seven million, five hundred eighty-four thousand, fifty-seven".