315105515010 has 768 divisors, whose sum is σ = 1109084659200. Its totient is φ = 62845009920.

The previous prime is 315105514979. The next prime is 315105515017. The reversal of 315105515010 is 10515501513.

315105515010 is a `hidden beast` number, since 3 + 1 + 5 + 105 + 51 + 501 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315105515017) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 137180182 + ... + 137182478.

It is an arithmetic number, because the mean of its divisors is an integer number (1444120650).

Almost surely, 2^315105515010 is an apocalyptic number.

315105515010 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 315105515010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554542329600).

315105515010 is an abundant number, since it is smaller than the sum of its proper divisors (793979144190).

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

315105515010 is a wasteful number, since it uses less digits than its factorization.

315105515010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

The spelling of 315105515010 in words is "three hundred fifteen billion, one hundred five million, five hundred fifteen thousand, ten".