312820517949 has 16 divisors (see below), whose sum is σ = 422205873600. Its totient is φ = 205992118656.

The previous prime is 312820517927. The next prime is 312820517957. The reversal of 312820517949 is 949715028213.

It is not a de Polignac number, because 312820517949 - 2⁵ = 312820517917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312820517959) 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 15 ways as a sum of consecutive naturals, for example, 1110867 + ... + 1363695.

It is an arithmetic number, because the mean of its divisors is an integer number (26387867100).

Almost surely, 2^312820517949 is an apocalyptic number.

It is an amenable number.

312820517949 is a deficient number, since it is larger than the sum of its proper divisors (109385355651).

312820517949 is a wasteful number, since it uses less digits than its factorization.

312820517949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257884.

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 312820517949 in words is "three hundred twelve billion, eight hundred twenty million, five hundred seventeen thousand, nine hundred forty-nine".