315105257 has 2 divisors, whose sum is σ = 315105258. Its totient is φ = 315105256.

The previous prime is 315105191. The next prime is 315105269. The reversal of 315105257 is 752501513.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278756416 + 36348841 = 16696^2 + 6029^2 .

It is a cyclic number.

It is not a de Polignac number, because 315105257 - 2¹² = 315101161 is a prime.

It is a Chen prime.

It is equal to p_17025347 and since 315105257 and 17025347 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (315105277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157552628 + 157552629.

It is an arithmetic number, because the mean of its divisors is an integer number (157552629).

Almost surely, 2^315105257 is an apocalyptic number.

It is an amenable number.

315105257 is a deficient number, since it is larger than the sum of its proper divisors (1).

315105257 is an equidigital number, since it uses as much as digits as its factorization.

315105257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 315105257 is about 17751.2043816751. The cubic root of 315105257 is about 680.4849892216.

The spelling of 315105257 in words is "three hundred fifteen million, one hundred five thousand, two hundred fifty-seven".