312407759753 has 2 divisors, whose sum is σ = 312407759754. Its totient is φ = 312407759752.

The previous prime is 312407759743. The next prime is 312407759761. The reversal of 312407759753 is 357957704213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287395704649 + 25012055104 = 536093^2 + 158152^2 .

It is an emirp because it is prime and its reverse (357957704213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312407759753 - 2⁸ = 312407759497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312407759695 and 312407759704.

It is not a weakly prime, because it can be changed into another prime (312407759743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156203879876 + 156203879877.

It is an arithmetic number, because the mean of its divisors is an integer number (156203879877).

Almost surely, 2^312407759753 is an apocalyptic number.

It is an amenable number.

312407759753 is a deficient number, since it is larger than the sum of its proper divisors (1).

312407759753 is an equidigital number, since it uses as much as digits as its factorization.

312407759753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5556600, while the sum is 53.

The spelling of 312407759753 in words is "three hundred twelve billion, four hundred seven million, seven hundred fifty-nine thousand, seven hundred fifty-three".