315106431 has 48 divisors (see below), whose sum is σ = 468172800. Its totient is φ = 188225856.

The previous prime is 315106411. The next prime is 315106453. The reversal of 315106431 is 134601513.

It is not a de Polignac number, because 315106431 - 2⁵ = 315106399 is a prime.

It is a super-2 number, since 2×315106431² = 198584125715115522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315106411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2481090 + ... + 2481216.

It is an arithmetic number, because the mean of its divisors is an integer number (9753600).

Almost surely, 2^315106431 is an apocalyptic number.

315106431 is a deficient number, since it is larger than the sum of its proper divisors (153066369).

315106431 is a wasteful number, since it uses less digits than its factorization.

315106431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 315106431 is about 17751.2374498230. The cubic root of 315106431 is about 680.4858343238.

Adding to 315106431 its reverse (134601513), we get a palindrome (449707944).

The spelling of 315106431 in words is "three hundred fifteen million, one hundred six thousand, four hundred thirty-one".