315210525415552 has 128 divisors (see below), whose sum is σ = 681188635512000. Its totient is φ = 144425814773760.

The previous prime is 315210525415477. The next prime is 315210525415601. The reversal of 315210525415552 is 255514525012513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130631527 + ... + 133022617.

Almost surely, 2^{315210525415552} is an apocalyptic number.

315210525415552 is a gapful number since it is divisible by the number (32) 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 315210525415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340594317756000).

315210525415552 is an abundant number, since it is smaller than the sum of its proper divisors (365978110096448).

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

315210525415552 is a wasteful number, since it uses less digits than its factorization.

315210525415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391694 (or 2391682 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 46.

The spelling of 315210525415552 in words is "three hundred fifteen trillion, two hundred ten billion, five hundred twenty-five million, four hundred fifteen thousand, five hundred fifty-two".