312827520801 has 8 divisors (see below), whose sum is σ = 417229730944. Its totient is φ = 208488495600.

The previous prime is 312827520791. The next prime is 312827520829. The reversal of 312827520801 is 108025728213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312827520801 - 2¹³ = 312827512609 is a prime.

It is a super-2 number, since 2×312827520801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312827520801.

It is not an unprimeable number, because it can be changed into a prime (312827520871) 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 in 7 ways as a sum of consecutive naturals, for example, 15784681 + ... + 15804486.

It is an arithmetic number, because the mean of its divisors is an integer number (52153716368).

Almost surely, 2^312827520801 is an apocalyptic number.

It is an amenable number.

312827520801 is a deficient number, since it is larger than the sum of its proper divisors (104402210143).

312827520801 is a wasteful number, since it uses less digits than its factorization.

312827520801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31592471.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 312827520801 in words is "three hundred twelve billion, eight hundred twenty-seven million, five hundred twenty thousand, eight hundred one".