33125290188521 has 2 divisors, whose sum is σ = 33125290188522. Its totient is φ = 33125290188520.

The previous prime is 33125290188503. The next prime is 33125290188533. The reversal of 33125290188521 is 12588109252133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31781812151296 + 1343478037225 = 5637536^2 + 1159085^2 .

It is a cyclic number.

It is not a de Polignac number, because 33125290188521 - 2¹⁴ = 33125290172137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33125290188521.

It is not a weakly prime, because it can be changed into another prime (33125290188121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16562645094260 + 16562645094261.

It is an arithmetic number, because the mean of its divisors is an integer number (16562645094261).

Almost surely, 2^{33125290188521} is an apocalyptic number.

It is an amenable number.

33125290188521 is a deficient number, since it is larger than the sum of its proper divisors (1).

33125290188521 is an equidigital number, since it uses as much as digits as its factorization.

33125290188521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 33125290188521 in words is "thirty-three trillion, one hundred twenty-five billion, two hundred ninety million, one hundred eighty-eight thousand, five hundred twenty-one".