90805505501 has 8 divisors (see below), whose sum is σ = 91048512984. Its totient is φ = 90562570560.

The previous prime is 90805505473. The next prime is 90805505503. The reversal of 90805505501 is 10550550809.

It can be written as a sum of positive squares in 4 ways, for example, as 37015836025 + 53789669476 = 192395^2 + 231926^2 .

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 90805505501 - 2¹⁰ = 90805504477 is a prime.

It is a super-2 number, since 2×90805505501² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90805505503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3278531 + ... + 3306111.

It is an arithmetic number, because the mean of its divisors is an integer number (11381064123).

Almost surely, 2^90805505501 is an apocalyptic number.

It is an amenable number.

90805505501 is a deficient number, since it is larger than the sum of its proper divisors (243007483).

90805505501 is a wasteful number, since it uses less digits than its factorization.

90805505501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36271.

The product of its (nonzero) digits is 45000, while the sum is 38.

The spelling of 90805505501 in words is "ninety billion, eight hundred five million, five hundred five thousand, five hundred one".