315105524130 has 128 divisors (see below), whose sum is σ = 811429850880. Its totient is φ = 78075740160.

The previous prime is 315105524087. The next prime is 315105524131. The reversal of 315105524130 is 31425501513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (315105524131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12260974 + ... + 12286646.

It is an arithmetic number, because the mean of its divisors is an integer number (6339295710).

Almost surely, 2^315105524130 is an apocalyptic number.

315105524130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315105524130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405714925440).

315105524130 is an abundant number, since it is smaller than the sum of its proper divisors (496324326750).

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

315105524130 is a wasteful number, since it uses less digits than its factorization.

315105524130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26116.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 315105524130 in words is "three hundred fifteen billion, one hundred five million, five hundred twenty-four thousand, one hundred thirty".