313576480441 has 9 divisors (see below), whose sum is σ = 364777200399. Its totient is φ = 268776480504.

The previous prime is 313576480429. The next prime is 313576480493. The reversal of 313576480441 is 144084675313.

The square root of 313576480441 is 559979.

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., 30343898025 + 283232582416 = 174195^2 + 532196^2 .

It is not a de Polignac number, because 313576480441 - 2⁹ = 313576479929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313576480391 and 313576480400.

It is not an unprimeable number, because it can be changed into a prime (313576420441) 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 8 ways as a sum of consecutive naturals, for example, 3879855 + ... + 3959851.

Almost surely, 2^313576480441 is an apocalyptic number.

313576480441 is the 559979-th square number.

313576480441 is the 279990-th centered octagonal number.

It is an amenable number.

313576480441 is a deficient number, since it is larger than the sum of its proper divisors (51200719958).

313576480441 is an frugal number, since it uses more digits than its factorization.

313576480441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160008 (or 80004 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 313576480441 in words is "three hundred thirteen billion, five hundred seventy-six million, four hundred eighty thousand, four hundred forty-one".