315005137 has 2 divisors, whose sum is σ = 315005138. Its totient is φ = 315005136.

The previous prime is 315005101. The next prime is 315005191. The reversal of 315005137 is 731500513.

315005137 is nontrivially palindromic in base 9.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250620561 + 64384576 = 15831^2 + 8024^2 .

It is a cyclic number.

It is not a de Polignac number, because 315005137 - 2¹⁹ = 314480849 is a prime.

It is not a weakly prime, because it can be changed into another prime (315005737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157502568 + 157502569.

It is an arithmetic number, because the mean of its divisors is an integer number (157502569).

Almost surely, 2^315005137 is an apocalyptic number.

It is an amenable number.

315005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

315005137 is an equidigital number, since it uses as much as digits as its factorization.

315005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 315005137 is about 17748.3840672891. The cubic root of 315005137 is about 680.4129102653.

The spelling of 315005137 in words is "three hundred fifteen million, five thousand, one hundred thirty-seven".