315485545761 has 63 divisors (see below), whose sum is σ = 481410930787. Its totient is φ = 206653673520.

The previous prime is 315485545679. The next prime is 315485545789. The reversal of 315485545761 is 167545584513.

The square root of 315485545761 is 561681.

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

315485545761 is a `hidden beast` number, since 3 + 1 + 5 + 485 + 54 + 57 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298492859025 + 16992686736 = 546345^2 + 130356^2 .

It is not a de Polignac number, because 315485545761 - 2⁷ = 315485545633 is a prime.

It is a super-2 number, since 2×315485545761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 315485545698 and 315485545707.

It is not an unprimeable number, because it can be changed into a prime (315485545261) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1076742331 + ... + 1076742623.

Almost surely, 2^315485545761 is an apocalyptic number.

315485545761 is the 561681-st square number.

315485545761 is the 280841-st centered octagonal number.

It is an amenable number.

315485545761 is a deficient number, since it is larger than the sum of its proper divisors (165925385026).

315485545761 is an frugal number, since it uses more digits than its factorization.

315485545761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 367 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 315485545761 in words is "three hundred fifteen billion, four hundred eighty-five million, five hundred forty-five thousand, seven hundred sixty-one".