313561537 has 2 divisors, whose sum is σ = 313561538. Its totient is φ = 313561536.

The previous prime is 313561531. The next prime is 313561609. The reversal of 313561537 is 735165313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207244816 + 106316721 = 14396^2 + 10311^2 .

It is an emirp because it is prime and its reverse (735165313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313561537 - 2³ = 313561529 is a prime.

It is equal to p_16946512 and since 313561537 and 16946512 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 (313561531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156780768 + 156780769.

It is an arithmetic number, because the mean of its divisors is an integer number (156780769).

Almost surely, 2^313561537 is an apocalyptic number.

It is an amenable number.

313561537 is a deficient number, since it is larger than the sum of its proper divisors (1).

313561537 is an equidigital number, since it uses as much as digits as its factorization.

313561537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28350, while the sum is 34.

The square root of 313561537 is about 17707.6688753771. The cubic root of 313561537 is about 679.3719236655.

The spelling of 313561537 in words is "three hundred thirteen million, five hundred sixty-one thousand, five hundred thirty-seven".