313428663409 has 9 divisors (see below), whose sum is σ = 322149946251. Its totient is φ = 304937463960.

The previous prime is 313428663367. The next prime is 313428663413. The reversal of 313428663409 is 904366824313.

The square root of 313428663409 is 559847.

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., 280460272225 + 32968391184 = 529585^2 + 181572^2 .

It is not a de Polignac number, because 313428663409 - 2¹⁷ = 313428532337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313428663109) 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, 20706774 + ... + 20721904.

Almost surely, 2^313428663409 is an apocalyptic number.

313428663409 is the 559847-th square number.

313428663409 is the 279924-th centered octagonal number.

It is an amenable number.

313428663409 is a deficient number, since it is larger than the sum of its proper divisors (8721282842).

313428663409 is an frugal number, since it uses more digits than its factorization.

313428663409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30336 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

Multiplying 313428663409 by its sum of digits (49), we get a square (15358004507041 = 3918929²).

The spelling of 313428663409 in words is "three hundred thirteen billion, four hundred twenty-eight million, six hundred sixty-three thousand, four hundred nine".