91325444401 has 9 divisors (see below), whose sum is σ = 91789852161. Its totient is φ = 90863379072.

The previous prime is 91325444381. The next prime is 91325444447. The reversal of 91325444401 is 10444452319.

The square root of 91325444401 is 302201.

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 14640758001 + 76684686400 = 120999^2 + 276920^2 .

It is not a de Polignac number, because 91325444401 - 2⁹ = 91325443889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91325444471) 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, 70412185 + ... + 70413481.

Almost surely, 2^91325444401 is an apocalyptic number.

91325444401 is the 302201-st square number.

91325444401 is the 151101-st centered octagonal number.

It is an amenable number.

91325444401 is a deficient number, since it is larger than the sum of its proper divisors (464407760).

91325444401 is an frugal number, since it uses more digits than its factorization.

91325444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 91325444401 in words is "ninety-one billion, three hundred twenty-five million, four hundred forty-four thousand, four hundred one".