31974625561321 has 9 divisors (see below), whose sum is σ = 32119919218071. Its totient is φ = 31829986266552.

The previous prime is 31974625561273. The next prime is 31974625561357. The reversal of 31974625561321 is 12316552647913.

The square root of 31974625561321 is 5654611.

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., 10318967659225 + 21655657902096 = 3212315^2 + 4653564^2 .

It is not a de Polignac number, because 31974625561321 - 2²⁹ = 31974088690409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31974625261321) 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, 1260965575 + ... + 1260990931.

It is an arithmetic number, because the mean of its divisors is an integer number (3568879913119).

Almost surely, 2^{31974625561321} is an apocalyptic number.

31974625561321 is the 5654611-st square number.

31974625561321 is the 2827306-th centered octagonal number.

It is an amenable number.

31974625561321 is a deficient number, since it is larger than the sum of its proper divisors (145293656750).

31974625561321 is an frugal number, since it uses more digits than its factorization.

31974625561321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51160 (or 25580 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The spelling of 31974625561321 in words is "thirty-one trillion, nine hundred seventy-four billion, six hundred twenty-five million, five hundred sixty-one thousand, three hundred twenty-one".