90583542841 has 9 divisors (see below), whose sum is σ = 99570673839. Its totient is φ = 82345665600.

The previous prime is 90583542809. The next prime is 90583542899. The reversal of 90583542841 is 14824538509.

The square root of 90583542841 is 300971.

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

It can be written as a sum of positive squares in only one way, i.e., 54953205241 + 35630337600 = 234421^2 + 188760^2 .

It is not a de Polignac number, because 90583542841 - 2⁵ = 90583542809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90583542041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3297001 + ... + 3324361.

Almost surely, 2^90583542841 is an apocalyptic number.

90583542841 is the 300971-st square number.

90583542841 is the 150486-th centered octagonal number.

It is an amenable number.

90583542841 is a deficient number, since it is larger than the sum of its proper divisors (8987130998).

90583542841 is an frugal number, since it uses more digits than its factorization.

90583542841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54744 (or 27372 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 90583542841 by its sum of digits (49), we get a square (4438593599209 = 2106797²).

It can be divided in two parts, 905835 and 42841, that added together give a square (948676 = 974²).

The spelling of 90583542841 in words is "ninety billion, five hundred eighty-three million, five hundred forty-two thousand, eight hundred forty-one".