31058407022049 has 135 divisors (see below), whose sum is σ = 52309406058217. Its totient is φ = 18350797449600.

The previous prime is 31058407022029. The next prime is 31058407022053. The reversal of 31058407022049 is 94022070485013.

The square root of 31058407022049 is 5573007.

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

31058407022049 is a `hidden beast` number, since 3 + 1 + 0 + 584 + 0 + 7 + 0 + 2 + 20 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 397070118225 + 30661336903824 = 630135^2 + 5537268^2 .

It is not a de Polignac number, because 31058407022049 - 2²³ = 31058398633441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31058407021995 and 31058407022013.

It is not an unprimeable number, because it can be changed into a prime (31058407022029) 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, 22620834727 + ... + 22620836099.

Almost surely, 2^{31058407022049} is an apocalyptic number.

31058407022049 is the 5573007-th square number.

31058407022049 is the 2786504-th centered octagonal number.

It is an amenable number.

31058407022049 is a deficient number, since it is larger than the sum of its proper divisors (21250999036168).

31058407022049 is an frugal number, since it uses more digits than its factorization.

31058407022049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 31058407022049 in words is "thirty-one trillion, fifty-eight billion, four hundred seven million, twenty-two thousand, forty-nine".