90288831361 has 3 divisors (see below), whose sum is σ = 90289131843. Its totient is φ = 90288530880.

The previous prime is 90288831337. The next prime is 90288831371. The reversal of 90288831361 is 16313888209.

The square root of 90288831361 is 300481.

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, and also an emirpimes, since its reverse is a distinct semiprime: 16313888209 = 17569 ⋅928561.

It can be written as a sum of positive squares in only one way, i.e., 53838384961 + 36450446400 = 232031^2 + 190920^2 .

It is not a de Polignac number, because 90288831361 - 2¹³ = 90288823169 is a prime.

It is a super-2 number, since 2×90288831361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90288831301) 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, 150241 + ... + 450721.

It is an arithmetic number, because the mean of its divisors is an integer number (30096377281).

Almost surely, 2^90288831361 is an apocalyptic number.

90288831361 is the 300481-st square number.

90288831361 is the 150241-st centered octagonal number.

It is an amenable number.

90288831361 is a deficient number, since it is larger than the sum of its proper divisors (300482).

90288831361 is an frugal number, since it uses more digits than its factorization.

90288831361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600962 (or 300481 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 90288831361 by its sum of digits (49), we get a square (4424152736689 = 2103367²).

The spelling of 90288831361 in words is "ninety billion, two hundred eighty-eight million, eight hundred thirty-one thousand, three hundred sixty-one".