31519679549121 has 9 divisors (see below), whose sum is σ = 45528450343779. Its totient is φ = 21013108470936.

The previous prime is 31519679549027. The next prime is 31519679549129. The reversal of 31519679549121 is 12194597691513.

The square root of 31519679549121 is 5614239.

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

31519679549121 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 9 + 6 + 79 + 549 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28830617442225 + 2689062106896 = 5369415^2 + 1639836^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 31519679549121 - 2⁷ = 31519679548993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31519679549129) 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, 15907011 + ... + 17778423.

Almost surely, 2^{31519679549121} is an apocalyptic number.

31519679549121 is the 5614239-th square number.

31519679549121 is the 2807120-th centered octagonal number.

It is an amenable number.

31519679549121 is a deficient number, since it is larger than the sum of its proper divisors (14008770794658).

31519679549121 is an frugal number, since it uses more digits than its factorization.

31519679549121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742832 (or 1871416 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 63.

The spelling of 31519679549121 in words is "thirty-one trillion, five hundred nineteen billion, six hundred seventy-nine million, five hundred forty-nine thousand, one hundred twenty-one".