315301253 has 16 divisors (see below), whose sum is σ = 334197360. Its totient is φ = 297024000.

The previous prime is 315301247. The next prime is 315301267. The reversal of 315301253 is 352103513.

It can be written as a sum of positive squares in 8 ways, for example, as 106151809 + 209149444 = 10303^2 + 14462^2 .

It is a cyclic number.

It is not a de Polignac number, because 315301253 - 2⁴ = 315301237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315301213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241703 + ... + 243003.

It is an arithmetic number, because the mean of its divisors is an integer number (20887335).

Almost surely, 2^315301253 is an apocalyptic number.

It is an amenable number.

315301253 is a deficient number, since it is larger than the sum of its proper divisors (18896107).

315301253 is a wasteful number, since it uses less digits than its factorization.

315301253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528.

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

The square root of 315301253 is about 17756.7241629756. The cubic root of 315301253 is about 680.6260475822.

Adding to 315301253 its reverse (352103513), we get a palindrome (667404766).

The spelling of 315301253 in words is "three hundred fifteen million, three hundred one thousand, two hundred fifty-three".