90589562361 has 27 divisors (see below), whose sum is σ = 134175766543. Its totient is φ = 58895962080.

The previous prime is 90589562351. The next prime is 90589562383. The reversal of 90589562361 is 16326598509.

It is a happy number.

The square root of 90589562361 is 300981.

It is a perfect power (a square), and thus also a powerful number.

90589562361 is a `hidden beast` number, since 9 + 0 + 5 + 8 + 9 + 5 + 623 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4365112761 + 86224449600 = 66069^2 + 293640^2 .

It is not a de Polignac number, because 90589562361 - 2⁹ = 90589561849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90589562298 and 90589562307.

It is not an unprimeable number, because it can be changed into a prime (90589562351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37019440 + ... + 37021886.

Almost surely, 2^90589562361 is an apocalyptic number.

90589562361 is the 300981-st square number.

90589562361 is the 150491-st centered octagonal number.

It is an amenable number.

90589562361 is a deficient number, since it is larger than the sum of its proper divisors (43586204182).

90589562361 is an frugal number, since it uses more digits than its factorization.

90589562361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

It can be divided in two parts, 905895 and 62361, that added together give a square (968256 = 984²).

The spelling of 90589562361 in words is "ninety billion, five hundred eighty-nine million, five hundred sixty-two thousand, three hundred sixty-one".