313576672575137 has 2 divisors, whose sum is σ = 313576672575138. Its totient is φ = 313576672575136.

The previous prime is 313576672575109. The next prime is 313576672575161. The reversal of 313576672575137 is 731575276675313.

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., 214503236273041 + 99073436302096 = 14645929^2 + 9953564^2 .

It is a cyclic number.

It is not a de Polignac number, because 313576672575137 - 2¹⁴ = 313576672558753 is a prime.

It is not a weakly prime, because it can be changed into another prime (313576672575197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156788336287568 + 156788336287569.

It is an arithmetic number, because the mean of its divisors is an integer number (156788336287569).

Almost surely, 2^{313576672575137} is an apocalyptic number.

It is an amenable number.

313576672575137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313576672575137 is an equidigital number, since it uses as much as digits as its factorization.

313576672575137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 583443000, while the sum is 68.

The spelling of 313576672575137 in words is "three hundred thirteen trillion, five hundred seventy-six billion, six hundred seventy-two million, five hundred seventy-five thousand, one hundred thirty-seven".