91075013882329 has 27 divisors (see below), whose sum is σ = 93141502781301. Its totient is φ = 89054091173880.

The previous prime is 91075013882297. The next prime is 91075013882341. The reversal of 91075013882329 is 92328831057019.

It is a happy number.

The square root of 91075013882329 is 9543323.

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

It is not a de Polignac number, because 91075013882329 - 2⁵ = 91075013882297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91075013882389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94183054204 + ... + 94183055170.

Almost surely, 2^{91075013882329} is an apocalyptic number.

91075013882329 is the 9543323-rd square number.

91075013882329 is the 4771662-nd centered octagonal number.

It is an amenable number.

91075013882329 is a deficient number, since it is larger than the sum of its proper divisors (2066488898972).

91075013882329 is an frugal number, since it uses more digits than its factorization.

91075013882329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 91075013882329 in words is "ninety-one trillion, seventy-five billion, thirteen million, eight hundred eighty-two thousand, three hundred twenty-nine".