315105523500 has 192 divisors, whose sum is σ = 952990496640. Its totient is φ = 80837222400.

The previous prime is 315105523489. The next prime is 315105523609. The reversal of 315105523500 is 5325501513.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4907604 + ... + 4971396.

It is an arithmetic number, because the mean of its divisors is an integer number (4963492170).

Almost surely, 2^315105523500 is an apocalyptic number.

315105523500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315105523500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476495248320).

315105523500 is an abundant number, since it is smaller than the sum of its proper divisors (637884973140).

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

315105523500 is a wasteful number, since it uses less digits than its factorization.

315105523500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63941 (or 63929 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 315105523500 in words is "three hundred fifteen billion, one hundred five million, five hundred twenty-three thousand, five hundred".