31035516561 has 27 divisors (see below), whose sum is σ = 52154329851. Its totient is φ = 17732466864.

The previous prime is 31035516559. The next prime is 31035516571. The reversal of 31035516561 is 16561553013.

The square root of 31035516561 is 176169.

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

31035516561 is a `hidden beast` number, since 3 + 10 + 35 + 51 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26906168961 + 4129347600 = 164031^2 + 64260^2 .

It is not a de Polignac number, because 31035516561 - 2¹ = 31035516559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31035516511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3695355 + ... + 3703743.

Almost surely, 2^31035516561 is an apocalyptic number.

31035516561 is the 176169-th square number.

31035516561 is the 88085-th centered octagonal number.

It is an amenable number.

31035516561 is a deficient number, since it is larger than the sum of its proper divisors (21118813290).

31035516561 is an frugal number, since it uses more digits than its factorization.

31035516561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16798 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Multiplying 31035516561 by its sum of digits (36), we get a square (1117278596196 = 1057014²).

The spelling of 31035516561 in words is "thirty-one billion, thirty-five million, five hundred sixteen thousand, five hundred sixty-one".