312515507021 has 2 divisors, whose sum is σ = 312515507022. Its totient is φ = 312515507020.

The previous prime is 312515507009. The next prime is 312515507033. The reversal of 312515507021 is 120705515213.

It is a balanced prime because it is at equal distance from previous prime (312515507009) and next prime (312515507033).

It can be written as a sum of positive squares in only one way, i.e., 249114784996 + 63400722025 = 499114^2 + 251795^2 .

It is an emirp because it is prime and its reverse (120705515213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312515507021 - 2³⁰ = 311441765197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312515507221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156257753510 + 156257753511.

It is an arithmetic number, because the mean of its divisors is an integer number (156257753511).

Almost surely, 2^312515507021 is an apocalyptic number.

It is an amenable number.

312515507021 is a deficient number, since it is larger than the sum of its proper divisors (1).

312515507021 is an equidigital number, since it uses as much as digits as its factorization.

312515507021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 312515507021 in words is "three hundred twelve billion, five hundred fifteen million, five hundred seven thousand, twenty-one".