90895617121 has 3 divisors (see below), whose sum is σ = 90895918611. Its totient is φ = 90895315632.

The previous prime is 90895617103. The next prime is 90895617181. The reversal of 90895617121 is 12171659809.

The square root of 90895617121 is 301489.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 17150783521 + 73744833600 = 130961^2 + 271560^2 .

It is not a de Polignac number, because 90895617121 - 2³⁵ = 56535878753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90895617181) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 150745 + ... + 452233.

It is an arithmetic number, because the mean of its divisors is an integer number (30298639537).

Almost surely, 2^90895617121 is an apocalyptic number.

90895617121 is the 301489-th square number.

90895617121 is the 150745-th centered octagonal number.

It is an amenable number.

90895617121 is a deficient number, since it is larger than the sum of its proper divisors (301490).

90895617121 is an frugal number, since it uses more digits than its factorization.

90895617121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602978 (or 301489 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

Multiplying 90895617121 by its sum of digits (49), we get a square (4453885238929 = 2110423²).

The spelling of 90895617121 in words is "ninety billion, eight hundred ninety-five million, six hundred seventeen thousand, one hundred twenty-one".