3180511993201 has 9 divisors (see below), whose sum is σ = 3286475867403. Its totient is φ = 3077861330160.

The previous prime is 3180511993189. The next prime is 3180511993301. The reversal of 3180511993201 is 1023991150813.

The square root of 3180511993201 is 1783399.

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

3180511993201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2691407583601 + 489104409600 = 1640551^2 + 699360^2 .

It is not a de Polignac number, because 3180511993201 - 2²⁵ = 3180478438769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3180511993301) 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, 55256605 + ... + 55314133.

It is an arithmetic number, because the mean of its divisors is an integer number (365163985267).

Almost surely, 2^{3180511993201} is an apocalyptic number.

3180511993201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3180511993201 is the 1783399-th square number.

3180511993201 is the 891700-th centered octagonal number.

It is an amenable number.

3180511993201 is a deficient number, since it is larger than the sum of its proper divisors (105963874202).

3180511993201 is an frugal number, since it uses more digits than its factorization.

3180511993201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115120 (or 57560 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The spelling of 3180511993201 in words is "three trillion, one hundred eighty billion, five hundred eleven million, nine hundred ninety-three thousand, two hundred one".