90506325505 has 8 divisors (see below), whose sum is σ = 108621059112. Its totient is φ = 72396081408.

The previous prime is 90506325451. The next prime is 90506325563. The reversal of 90506325505 is 50552360509.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22456820736 + 68049504769 = 149856^2 + 260863^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90506325505 - 2²⁹ = 89969454593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077864 + ... + 1158793.

It is an arithmetic number, because the mean of its divisors is an integer number (13577632389).

Almost surely, 2^90506325505 is an apocalyptic number.

It is an amenable number.

90506325505 is a deficient number, since it is larger than the sum of its proper divisors (18114733607).

90506325505 is a wasteful number, since it uses less digits than its factorization.

90506325505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244755.

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 90506325505 in words is "ninety billion, five hundred six million, three hundred twenty-five thousand, five hundred five".