312407313561 has 16 divisors (see below), whose sum is σ = 528943600000. Its totient is φ = 178518464784.

The previous prime is 312407313557. The next prime is 312407313611. The reversal of 312407313561 is 165313704213.

312407313561 is a `hidden beast` number, since 3 + 1 + 24 + 0 + 73 + 1 + 3 + 561 = 666.

312407313561 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312407313561 - 2² = 312407313557 is a prime.

It is a super-3 number, since 3×312407313561³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312407313661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826474186 + ... + 826474563.

It is an arithmetic number, because the mean of its divisors is an integer number (33058975000).

Almost surely, 2^312407313561 is an apocalyptic number.

It is an amenable number.

312407313561 is a deficient number, since it is larger than the sum of its proper divisors (216536286439).

312407313561 is a wasteful number, since it uses less digits than its factorization.

312407313561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652948765 (or 1652948759 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 312407313561 in words is "three hundred twelve billion, four hundred seven million, three hundred thirteen thousand, five hundred sixty-one".