91354924332529 has 81 divisors (see below), whose sum is σ = 110115386891937. Its totient is φ = 75699177840000.

The previous prime is 91354924332521. The next prime is 91354924332547. The reversal of 91354924332529 is 92523342945319.

It is a happy number.

The square root of 91354924332529 is 9557977.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39938165712225 + 51416758620304 = 6319665^2 + 7170548^2 .

It is not a de Polignac number, because 91354924332529 - 2³ = 91354924332521 is a prime.

It is a Duffinian number.

Its product of digits (62985600) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (91354924332521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121644372904 + ... + 121644373654.

Almost surely, 2^{91354924332529} is an apocalyptic number.

91354924332529 is the 9557977-th square number.

91354924332529 is the 4778989-th centered octagonal number.

It is an amenable number.

91354924332529 is a deficient number, since it is larger than the sum of its proper divisors (18760462559408).

91354924332529 is an frugal number, since it uses more digits than its factorization.

91354924332529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 864 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 61.

The spelling of 91354924332529 in words is "ninety-one trillion, three hundred fifty-four billion, nine hundred twenty-four million, three hundred thirty-two thousand, five hundred twenty-nine".