90582958053 has 54 divisors (see below), whose sum is σ = 152812536786. Its totient is φ = 51555559104.

The previous prime is 90582958051. The next prime is 90582958079. The reversal of 90582958053 is 35085928509.

90582958053 is a `hidden beast` number, since 9 + 0 + 5 + 8 + 2 + 9 + 580 + 53 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7351862049 + 83231096004 = 85743^2 + 288498^2 .

It is not a de Polignac number, because 90582958053 - 2¹ = 90582958051 is a prime.

It is a super-3 number, since 3×90582958053³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90582958051) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 33836151 + ... + 33838827.

Almost surely, 2^90582958053 is an apocalyptic number.

It is an amenable number.

90582958053 is a deficient number, since it is larger than the sum of its proper divisors (62229578733).

90582958053 is a wasteful number, since it uses less digits than its factorization.

90582958053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 90582958053 in words is "ninety billion, five hundred eighty-two million, nine hundred fifty-eight thousand, fifty-three".