5327311761409 has 81 divisors (see below), whose sum is σ = 6191732704521. Its totient is φ = 4580003039040.

The previous prime is 5327311761403. The next prime is 5327311761449. The reversal of 5327311761409 is 9041671137235.

The square root of 5327311761409 is 2308097.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2126647639809 + 3200664121600 = 1458303^2 + 1789040^2 .

It is not a de Polignac number, because 5327311761409 - 2¹⁷ = 5327311630337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5327311761403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49787960334 + ... + 49787960440.

Almost surely, 2^{5327311761409} is an apocalyptic number.

5327311761409 is the 2308097-th square number.

5327311761409 is the 1154049-th centered octagonal number.

It is an amenable number.

5327311761409 is a deficient number, since it is larger than the sum of its proper divisors (864420943112).

5327311761409 is an equidigital number, since it uses as much as digits as its factorization.

5327311761409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 5327311761409 by its sum of digits (49), we get a square (261038276309041 = 16156679²).

The spelling of 5327311761409 in words is "five trillion, three hundred twenty-seven billion, three hundred eleven million, seven hundred sixty-one thousand, four hundred nine".