312523020 has 72 divisors (see below), whose sum is σ = 997891440. Its totient is φ = 78952320.

The previous prime is 312523007. The next prime is 312523031. The reversal of 312523020 is 20325213.

312523020 is a `hidden beast` number, since 312 + 52 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312522984 and 312523002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42271 + ... + 49110.

Almost surely, 2^312523020 is an apocalyptic number.

312523020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312523020 is an abundant number, since it is smaller than the sum of its proper divisors (685368420).

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

312523020 is a wasteful number, since it uses less digits than its factorization.

312523020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91415 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 312523020 is about 17678.3206215975. The cubic root of 312523020 is about 678.6210666445.

Adding to 312523020 its reverse (20325213), we get a palindrome (332848233).

The spelling of 312523020 in words is "three hundred twelve million, five hundred twenty-three thousand, twenty".