312993521 has 2 divisors, whose sum is σ = 312993522. Its totient is φ = 312993520.

The previous prime is 312993487. The next prime is 312993529. The reversal of 312993521 is 125399213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164762896 + 148230625 = 12836^2 + 12175^2 .

It is a cyclic number.

It is not a de Polignac number, because 312993521 - 2¹⁰ = 312992497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312993529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156496760 + 156496761.

It is an arithmetic number, because the mean of its divisors is an integer number (156496761).

Almost surely, 2^312993521 is an apocalyptic number.

It is an amenable number.

312993521 is a deficient number, since it is larger than the sum of its proper divisors (1).

312993521 is an equidigital number, since it uses as much as digits as its factorization.

312993521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14580, while the sum is 35.

The square root of 312993521 is about 17691.6229046405. The cubic root of 312993521 is about 678.9614488174.

The spelling of 312993521 in words is "three hundred twelve million, nine hundred ninety-three thousand, five hundred twenty-one".