312777013 has 2 divisors, whose sum is σ = 312777014. Its totient is φ = 312777012.

The previous prime is 312776983. The next prime is 312777077. The reversal of 312777013 is 310777213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254147364 + 58629649 = 15942^2 + 7657^2 .

It is a cyclic number.

It is not a de Polignac number, because 312777013 - 2⁹ = 312776501 is a prime.

It is a super-2 number, since 2×312777013² = 195658919722404338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312777083) 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, 156388506 + 156388507.

It is an arithmetic number, because the mean of its divisors is an integer number (156388507).

Almost surely, 2^312777013 is an apocalyptic number.

It is an amenable number.

312777013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312777013 is an equidigital number, since it uses as much as digits as its factorization.

312777013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 312777013 is about 17685.5029049219. The cubic root of 312777013 is about 678.8048593210.

The spelling of 312777013 in words is "three hundred twelve million, seven hundred seventy-seven thousand, thirteen".