315303587361 has 63 divisors (see below), whose sum is σ = 550106179713. Its totient is φ = 180112834440.

The previous prime is 315303587351. The next prime is 315303587363. The reversal of 315303587361 is 163785303513.

The square root of 315303587361 is 561519.

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

315303587361 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 0 + 3 + 587 + 3 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 315303587361 - 2⁹ = 315303586849 is a prime.

It is a super-4 number, since 4×315303587361⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (315303587363) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 106125606 + ... + 106128576.

Almost surely, 2^315303587361 is an apocalyptic number.

315303587361 is the 561519-th square number.

315303587361 is the 280760-th centered octagonal number.

It is an amenable number.

315303587361 is a deficient number, since it is larger than the sum of its proper divisors (234802592352).

315303587361 is an frugal number, since it uses more digits than its factorization.

315303587361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 315303587361 in words is "three hundred fifteen billion, three hundred three million, five hundred eighty-seven thousand, three hundred sixty-one".