313431552 has 320 divisors, whose sum is σ = 1099929600. Its totient is φ = 86261760.

The previous prime is 313431529. The next prime is 313431577. The reversal of 313431552 is 255134313.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3967449 + ... + 3967527.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^313431552 is an apocalyptic number.

313431552 is a gapful number since it is divisible by the number (32) 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 313431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

313431552 is an abundant number, since it is smaller than the sum of its proper divisors (786498048).

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

313431552 is an equidigital number, since it uses as much as digits as its factorization.

313431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 313431552 is about 17703.9981924988. The cubic root of 313431552 is about 679.2780342112.

Adding to 313431552 its reverse (255134313), we get a palindrome (568565865).

The spelling of 313431552 in words is "three hundred thirteen million, four hundred thirty-one thousand, five hundred fifty-two".