312501377 has 2 divisors, whose sum is σ = 312501378. Its totient is φ = 312501376.

The previous prime is 312501349. The next prime is 312501389. The reversal of 312501377 is 773105213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263445361 + 49056016 = 16231^2 + 7004^2 .

It is a cyclic number.

It is not a de Polignac number, because 312501377 - 2¹⁸ = 312239233 is a prime.

It is a super-2 number, since 2×312501377² = 195314221253792258, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312501307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156250688 + 156250689.

It is an arithmetic number, because the mean of its divisors is an integer number (156250689).

Almost surely, 2^312501377 is an apocalyptic number.

It is an amenable number.

312501377 is a deficient number, since it is larger than the sum of its proper divisors (1).

312501377 is an equidigital number, since it uses as much as digits as its factorization.

312501377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 312501377 is about 17677.7084770623. The cubic root of 312501377 is about 678.6054008814.

The spelling of 312501377 in words is "three hundred twelve million, five hundred one thousand, three hundred seventy-seven".