257864053 has 2 divisors, whose sum is σ = 257864054. Its totient is φ = 257864052.

The previous prime is 257864023. The next prime is 257864083. The reversal of 257864053 is 350468752.

It is a balanced prime because it is at equal distance from previous prime (257864023) and next prime (257864083).

It can be written as a sum of positive squares in only one way, i.e., 211324369 + 46539684 = 14537^2 + 6822^2 .

It is a cyclic number.

It is not a de Polignac number, because 257864053 - 2⁵ = 257864021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257863997 and 257864015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257864023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128932026 + 128932027.

It is an arithmetic number, because the mean of its divisors is an integer number (128932027).

Almost surely, 2^257864053 is an apocalyptic number.

It is an amenable number.

257864053 is a deficient number, since it is larger than the sum of its proper divisors (1).

257864053 is an equidigital number, since it uses as much as digits as its factorization.

257864053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 257864053 is about 16058.1460013290. The cubic root of 257864053 is about 636.4978409240.

The spelling of 257864053 in words is "two hundred fifty-seven million, eight hundred sixty-four thousand, fifty-three".