315392620536 has 640 divisors, whose sum is σ = 1086320885760. Its totient is φ = 83545862400.

The previous prime is 315392620511. The next prime is 315392620537. The reversal of 315392620536 is 635026293513.

It is a happy number.

315392620536 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 92 + 6 + 20 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315392620491 and 315392620500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315392620537) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 642347251 + ... + 642347741.

It is an arithmetic number, because the mean of its divisors is an integer number (1697376384).

Almost surely, 2^315392620536 is an apocalyptic number.

315392620536 is a gapful number since it is divisible by the number (36) 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 315392620536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543160442880).

315392620536 is an abundant number, since it is smaller than the sum of its proper divisors (770928265224).

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

315392620536 is a wasteful number, since it uses less digits than its factorization.

315392620536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 315392620536 in words is "three hundred fifteen billion, three hundred ninety-two million, six hundred twenty thousand, five hundred thirty-six".