315781059136 has 63 divisors (see below), whose sum is σ = 661523209209. Its totient is φ = 149540041728.

The previous prime is 315781059047. The next prime is 315781059151. The reversal of 315781059136 is 631950187513.

It is a happy number.

The square root of 315781059136 is 561944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28210561600 + 287570497536 = 167960^2 + 536256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 315781059136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85413640 + ... + 85417336.

Almost surely, 2^315781059136 is an apocalyptic number.

315781059136 is the 561944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315781059136

315781059136 is an abundant number, since it is smaller than the sum of its proper divisors (345742150073).

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

315781059136 is an frugal number, since it uses more digits than its factorization.

315781059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

Multiplying 315781059136 by its sum of digits (49), we get a square (15473271897664 = 3933608²).

The spelling of 315781059136 in words is "three hundred fifteen billion, seven hundred eighty-one million, fifty-nine thousand, one hundred thirty-six".