312525613241 has 2 divisors, whose sum is σ = 312525613242. Its totient is φ = 312525613240.

The previous prime is 312525613229. The next prime is 312525613247. The reversal of 312525613241 is 142316525213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277555117225 + 34970496016 = 526835^2 + 187004^2 .

It is an emirp because it is prime and its reverse (142316525213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312525613241 - 2¹⁴ = 312525596857 is a prime.

It is a super-2 number, since 2×312525613241² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312525613247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156262806620 + 156262806621.

It is an arithmetic number, because the mean of its divisors is an integer number (156262806621).

Almost surely, 2^312525613241 is an apocalyptic number.

It is an amenable number.

312525613241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312525613241 is an equidigital number, since it uses as much as digits as its factorization.

312525613241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43200, while the sum is 35.

The spelling of 312525613241 in words is "three hundred twelve billion, five hundred twenty-five million, six hundred thirteen thousand, two hundred forty-one".