312512215241 has 2 divisors, whose sum is σ = 312512215242. Its totient is φ = 312512215240.

The previous prime is 312512215201. The next prime is 312512215261. The reversal of 312512215241 is 142512215213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178002985216 + 134509230025 = 421904^2 + 366755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312512215241 is a prime.

It is a super-2 number, since 2×312512215241² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312512215201) 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, 156256107620 + 156256107621.

It is an arithmetic number, because the mean of its divisors is an integer number (156256107621).

Almost surely, 2^312512215241 is an apocalyptic number.

It is an amenable number.

312512215241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312512215241 is an equidigital number, since it uses as much as digits as its factorization.

312512215241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800, while the sum is 29.

The spelling of 312512215241 in words is "three hundred twelve billion, five hundred twelve million, two hundred fifteen thousand, two hundred forty-one".