96991759225 has 27 divisors (see below), whose sum is σ = 121264612173. Its totient is φ = 76956834240.

The previous prime is 96991759187. The next prime is 96991759231. The reversal of 96991759225 is 52295719969.

The square root of 96991759225 is 311435.

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 54488164329 + 42503594896 = 233427^2 + 206164^2 .

It is not a de Polignac number, because 96991759225 - 2¹³ = 96991751033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 309877669 + ... + 309877981.

Almost surely, 2^96991759225 is an apocalyptic number.

96991759225 is the 311435-th square number.

96991759225 is the 155718-th centered octagonal number.

It is an amenable number.

96991759225 is a deficient number, since it is larger than the sum of its proper divisors (24272852948).

96991759225 is an frugal number, since it uses more digits than its factorization.

96991759225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 64.

Multiplying 96991759225 by its sum of digits (64), we get a square (6207472590400 = 2491480²).

The spelling of 96991759225 in words is "ninety-six billion, nine hundred ninety-one million, seven hundred fifty-nine thousand, two hundred twenty-five".