312513390 has 80 divisors (see below), whose sum is σ = 960376032. Its totient is φ = 71430336.

The previous prime is 312513361. The next prime is 312513391. The reversal of 312513390 is 93315213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312513391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21889 + ... + 33228.

Almost surely, 2^312513390 is an apocalyptic number.

312513390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312513390 is an abundant number, since it is smaller than the sum of its proper divisors (647862642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312513390 is a wasteful number, since it uses less digits than its factorization.

312513390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55143 (or 55134 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 312513390 is about 17678.0482519989. The cubic root of 312513390 is about 678.6140962908.

The spelling of 312513390 in words is "three hundred twelve million, five hundred thirteen thousand, three hundred ninety".