257848013 has 2 divisors, whose sum is σ = 257848014. Its totient is φ = 257848012.

The previous prime is 257847983. The next prime is 257848039. The reversal of 257848013 is 310848752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248472169 + 9375844 = 15763^2 + 3062^2 .

It is a cyclic number.

It is not a de Polignac number, because 257848013 - 2⁶ = 257847949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257848813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128924006 + 128924007.

It is an arithmetic number, because the mean of its divisors is an integer number (128924007).

Almost surely, 2^257848013 is an apocalyptic number.

It is an amenable number.

257848013 is a deficient number, since it is larger than the sum of its proper divisors (1).

257848013 is an equidigital number, since it uses as much as digits as its factorization.

257848013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 257848013 is about 16057.6465585714. The cubic root of 257848013 is about 636.4846432243.

The spelling of 257848013 in words is "two hundred fifty-seven million, eight hundred forty-eight thousand, thirteen".