313415293124521 has 9 divisors (see below), whose sum is σ = 364585281057399. Its totient is φ = 268641573599784.

The previous prime is 313415293124489. The next prime is 313415293124533. The reversal of 313415293124521 is 125421392514313.

The square root of 313415293124521 is 17703539.

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., 266446695008025 + 46968598116496 = 16323195^2 + 6853364^2 .

It is not a de Polignac number, because 313415293124521 - 2⁵ = 313415293124489 is a prime.

It is a super-3 number, since 3×313415293124521³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313415293124551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122660235 + ... + 125189311.

Almost surely, 2^{313415293124521} is an apocalyptic number.

313415293124521 is the 17703539-th square number.

313415293124521 is the 8851770-th centered octagonal number.

It is an amenable number.

313415293124521 is a deficient number, since it is larger than the sum of its proper divisors (51169987932878).

313415293124521 is an frugal number, since it uses more digits than its factorization.

313415293124521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058168 (or 2529084 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The spelling of 313415293124521 in words is "three hundred thirteen trillion, four hundred fifteen billion, two hundred ninety-three million, one hundred twenty-four thousand, five hundred twenty-one".