91925995249 has 27 divisors (see below), whose sum is σ = 103608734187. Its totient is φ = 81498278400.

The previous prime is 91925995229. The next prime is 91925995253. The reversal of 91925995249 is 94259952919.

The square root of 91925995249 is 303193.

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., 82976835249 + 8949160000 = 288057^2 + 94600^2 .

It is not a de Polignac number, because 91925995249 - 2⁷ = 91925995121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91925995219) 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 26 ways as a sum of consecutive naturals, for example, 143409969 + ... + 143410609.

Almost surely, 2^91925995249 is an apocalyptic number.

91925995249 is the 303193-rd square number.

91925995249 is the 151597-th centered octagonal number.

It is an amenable number.

91925995249 is a deficient number, since it is larger than the sum of its proper divisors (11682738938).

91925995249 is an frugal number, since it uses more digits than its factorization.

91925995249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 64.

Multiplying 91925995249 by its sum of digits (64), we get a square (5883263695936 = 2425544²).

The spelling of 91925995249 in words is "ninety-one billion, nine hundred twenty-five million, nine hundred ninety-five thousand, two hundred forty-nine".