312521214373757 has 2 divisors, whose sum is σ = 312521214373758. Its totient is φ = 312521214373756.

The previous prime is 312521214373747. The next prime is 312521214373759. The reversal of 312521214373757 is 757373412125213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189187618193401 + 123333596180356 = 13754549^2 + 11105566^2 .

It is a cyclic number.

It is not a de Polignac number, because 312521214373757 - 2²⁴ = 312521197596541 is a prime.

Together with 312521214373759, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312521214373699 and 312521214373708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312521214373759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156260607186878 + 156260607186879.

It is an arithmetic number, because the mean of its divisors is an integer number (156260607186879).

Almost surely, 2^{312521214373757} is an apocalyptic number.

It is an amenable number.

312521214373757 is a deficient number, since it is larger than the sum of its proper divisors (1).

312521214373757 is an equidigital number, since it uses as much as digits as its factorization.

312521214373757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7408800, while the sum is 53.

The spelling of 312521214373757 in words is "three hundred twelve trillion, five hundred twenty-one billion, two hundred fourteen million, three hundred seventy-three thousand, seven hundred fifty-seven".