33130916361 has 81 divisors (see below), whose sum is σ = 52680756999. Its totient is φ = 20059949952.

The previous prime is 33130916353. The next prime is 33130916419. The reversal of 33130916361 is 16361903133.

It is a happy number.

The square root of 33130916361 is 182019.

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

33130916361 is a `hidden beast` number, since 3 + 3 + 13 + 0 + 9 + 1 + 636 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25793966025 + 7336950336 = 160605^2 + 85656^2 .

It is not a de Polignac number, because 33130916361 - 2³ = 33130916353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33130916321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 399167626 + ... + 399167708.

Almost surely, 2^33130916361 is an apocalyptic number.

33130916361 is the 182019-th square number.

33130916361 is the 91010-th centered octagonal number.

It is an amenable number.

33130916361 is a deficient number, since it is larger than the sum of its proper divisors (19549840638).

33130916361 is an equidigital number, since it uses as much as digits as its factorization.

33130916361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

Multiplying 33130916361 by its sum of digits (36), we get a square (1192712988996 = 1092114²).

Multiplying 33130916361 by its product of nonzero digits (26244), we get a square (869487768978084 = 29487078²).

The spelling of 33130916361 in words is "thirty-three billion, one hundred thirty million, nine hundred sixteen thousand, three hundred sixty-one".