313040520 has 96 divisors (see below), whose sum is σ = 1095658200. Its totient is φ = 77054976.

The previous prime is 313040509. The next prime is 313040521. The reversal of 313040520 is 25040313.

It can be written as a sum of positive squares in 4 ways, for example, as 184036356 + 129004164 = 13566^2 + 11358^2 .

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 = 313040493 and 313040502.

It is not an unprimeable number, because it can be changed into a prime (313040521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28765 + ... + 38124.

Almost surely, 2^313040520 is an apocalyptic number.

313040520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313040520 is an abundant number, since it is smaller than the sum of its proper divisors (782617680).

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

313040520 is a wasteful number, since it uses less digits than its factorization.

313040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66919 (or 66912 counting only the distinct ones).

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

The square root of 313040520 is about 17692.9511388010. The cubic root of 313040520 is about 678.9954313228.

Adding to 313040520 its reverse (25040313), we get a palindrome (338080833).

The spelling of 313040520 in words is "three hundred thirteen million, forty thousand, five hundred twenty".