315013200 has 60 divisors (see below), whose sum is σ = 1009096128. Its totient is φ = 84003200.

The previous prime is 315013199. The next prime is 315013201. The reversal of 315013200 is 2310513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315013199) and next prime (315013201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 315013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315013201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130056 + ... + 132455.

Almost surely, 2^315013200 is an apocalyptic number.

315013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315013200 is an abundant number, since it is smaller than the sum of its proper divisors (694082928).

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

315013200 is a wasteful number, since it uses less digits than its factorization.

315013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262532 (or 262521 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 315013200 is about 17748.6112132753. The cubic root of 315013200 is about 680.4187155913.

Adding to 315013200 its reverse (2310513), we get a palindrome (317323713).

The spelling of 315013200 in words is "three hundred fifteen million, thirteen thousand, two hundred".