91951465225 has 9 divisors (see below), whose sum is σ = 114021696967. Its totient is φ = 73559959240.

The previous prime is 91951465217. The next prime is 91951465241. The reversal of 91951465225 is 52256415919.

The square root of 91951465225 is 303235.

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., 33102527481 + 58848937744 = 181941^2 + 242588^2 .

It is not a de Polignac number, because 91951465225 - 2³ = 91951465217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1485852 + ... + 1546498.

Almost surely, 2^91951465225 is an apocalyptic number.

91951465225 is the 303235-th square number.

91951465225 is the 151618-th centered octagonal number.

It is an amenable number.

91951465225 is a deficient number, since it is larger than the sum of its proper divisors (22070231742).

91951465225 is an frugal number, since it uses more digits than its factorization.

91951465225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121304 (or 60652 counting only the distinct ones).

The product of its digits is 972000, while the sum is 49.

Multiplying 91951465225 by its sum of digits (49), we get a square (4505621796025 = 2122645²).

The spelling of 91951465225 in words is "ninety-one billion, nine hundred fifty-one million, four hundred sixty-five thousand, two hundred twenty-five".