31409176063321 has 27 divisors (see below), whose sum is σ = 36907196923647. Its totient is φ = 26652232328400.

The previous prime is 31409176063297. The next prime is 31409176063333. The reversal of 31409176063321 is 12336067190413.

The square root of 31409176063321 is 5604389.

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., 30177564414921 + 1231611648400 = 5493411^2 + 1109780^2 .

It is not a de Polignac number, because 31409176063321 - 2⁷ = 31409176063193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31409176063921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3962299060 + ... + 3962306986.

Almost surely, 2^{31409176063321} is an apocalyptic number.

31409176063321 is the 5604389-th square number.

31409176063321 is the 2802195-th centered octagonal number.

It is an amenable number.

31409176063321 is a deficient number, since it is larger than the sum of its proper divisors (5498020860326).

31409176063321 is an frugal number, since it uses more digits than its factorization.

31409176063321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16070 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 31409176063321 in words is "thirty-one trillion, four hundred nine billion, one hundred seventy-six million, sixty-three thousand, three hundred twenty-one".