313503125 has 24 divisors (see below), whose sum is σ = 422051112. Its totient is φ = 231480000.

The previous prime is 313503119. The next prime is 313503139. The reversal of 313503125 is 521305313.

It can be written as a sum of positive squares in 12 ways, for example, as 305340676 + 8162449 = 17474^2 + 2857^2 .

It is not a de Polignac number, because 313503125 - 2¹⁶ = 313437589 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313503125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36767 + ... + 44483.

It is an arithmetic number, because the mean of its divisors is an integer number (17585463).

Almost surely, 2^313503125 is an apocalyptic number.

It is an amenable number.

313503125 is a deficient number, since it is larger than the sum of its proper divisors (108547987).

313503125 is an frugal number, since it uses more digits than its factorization.

313503125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 313503125 is about 17706.0194566707. The cubic root of 313503125 is about 679.3297353096.

Adding to 313503125 its reverse (521305313), we get a palindrome (834808438).

The spelling of 313503125 in words is "three hundred thirteen million, five hundred three thousand, one hundred twenty-five".