1931713599321 has 135 divisors (see below), whose sum is σ = 3226754049519. Its totient is φ = 1150804908000.

The previous prime is 1931713599313. The next prime is 1931713599443. The reversal of 1931713599321 is 1239953171391.

The square root of 1931713599321 is 1389861.

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

1931713599321 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 7 + 13 + 599 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1855967550921 + 75746048400 = 1362339^2 + 275220^2 .

It is not a de Polignac number, because 1931713599321 - 2³ = 1931713599313 is a prime.

It is a super-2 number, since 2×1931713599321² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1931713595321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13897220070 + ... + 13897220208.

Almost surely, 2^{1931713599321} is an apocalyptic number.

1931713599321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1931713599321 is the 1389861-st square number.

1931713599321 is the 694931-st centered octagonal number.

It is an amenable number.

1931713599321 is a deficient number, since it is larger than the sum of its proper divisors (1295040450198).

1931713599321 is an equidigital number, since it uses as much as digits as its factorization.

1931713599321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 254 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The spelling of 1931713599321 in words is "one trillion, nine hundred thirty-one billion, seven hundred thirteen million, five hundred ninety-nine thousand, three hundred twenty-one".