90577523521 has 3 divisors (see below), whose sum is σ = 90577824483. Its totient is φ = 90577222560.

The previous prime is 90577523513. The next prime is 90577523527. The reversal of 90577523521 is 12532577509.

The square root of 90577523521 is 300961.

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., 13204537921 + 77372985600 = 114911^2 + 278160^2 .

It is not a de Polignac number, because 90577523521 - 2³ = 90577523513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90577523527) 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, 150481 + ... + 451441.

It is an arithmetic number, because the mean of its divisors is an integer number (30192608161).

Almost surely, 2^90577523521 is an apocalyptic number.

90577523521 is the 300961-st square number.

90577523521 is the 150481-st centered octagonal number.

It is an amenable number.

90577523521 is a deficient number, since it is larger than the sum of its proper divisors (300962).

90577523521 is an frugal number, since it uses more digits than its factorization.

90577523521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601922 (or 300961 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 46.

It can be divided in two parts, 905775 and 23521, that added together give a square (929296 = 964²).

The spelling of 90577523521 in words is "ninety billion, five hundred seventy-seven million, five hundred twenty-three thousand, five hundred twenty-one".