91249305625 has 45 divisors (see below), whose sum is σ = 117155466219. Its totient is φ = 71048040000.

The previous prime is 91249305619. The next prime is 91249305629. The reversal of 91249305625 is 52650394219.

The square root of 91249305625 is 302075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 55061091801 + 36188213824 = 234651^2 + 190232^2 .

It is not a de Polignac number, because 91249305625 - 2³ = 91249305617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91249305629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 324730485 + ... + 324730765.

Almost surely, 2^91249305625 is an apocalyptic number.

91249305625 is the 302075-th square number.

91249305625 is the 151038-th centered octagonal number.

It is an amenable number.

91249305625 is a deficient number, since it is larger than the sum of its proper divisors (25906160594).

91249305625 is an frugal number, since it uses more digits than its factorization.

91249305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 91249305625 in words is "ninety-one billion, two hundred forty-nine million, three hundred five thousand, six hundred twenty-five".