312553020 has 96 divisors (see below), whose sum is σ = 958063680. Its totient is φ = 75663360.

The previous prime is 312553001. The next prime is 312553051. The reversal of 312553020 is 20355213.

It is a super-2 number, since 2×312553020² = 195378780622240800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44296 + ... + 50864.

It is an arithmetic number, because the mean of its divisors is an integer number (9979830).

Almost surely, 2^312553020 is an apocalyptic number.

312553020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312553020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479031840).

312553020 is an abundant number, since it is smaller than the sum of its proper divisors (645510660).

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

312553020 is a wasteful number, since it uses less digits than its factorization.

312553020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 312553020 is about 17679.1690981222. The cubic root of 312553020 is about 678.6427802243.

The spelling of 312553020 in words is "three hundred twelve million, five hundred fifty-three thousand, twenty".