90959872541 has 12 divisors (see below), whose sum is σ = 98365461180. Its totient is φ = 84004905600.

The previous prime is 90959872519. The next prime is 90959872561. The reversal of 90959872541 is 14527895909.

It can be written as a sum of positive squares in 2 ways, for example, as 34510864441 + 56449008100 = 185771^2 + 237590^2 .

It is not a de Polignac number, because 90959872541 - 2²² = 90955678237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90959872561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949260 + ... + 2979941.

It is an arithmetic number, because the mean of its divisors is an integer number (8197121765).

Almost surely, 2^90959872541 is an apocalyptic number.

It is an amenable number.

90959872541 is a deficient number, since it is larger than the sum of its proper divisors (7405588639).

90959872541 is a wasteful number, since it uses less digits than its factorization.

90959872541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929276 (or 5929253 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 90959872541 in words is "ninety billion, nine hundred fifty-nine million, eight hundred seventy-two thousand, five hundred forty-one".