791351191831225 has 9 divisors (see below), whose sum is σ = 981275652282733. Its totient is φ = 633080840941120.

The previous prime is 791351191831199. The next prime is 791351191831237. The reversal of 791351191831225 is 522138191153197.

It is a happy number.

The square root of 791351191831225 is 28130965.

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 200806952985769 + 590544238845456 = 14170637^2 + 24301116^2 .

It is not a de Polignac number, because 791351191831225 - 2¹⁹ = 791351191306937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 791351191831225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137841729 + ... + 143467921.

Almost surely, 2^{791351191831225} is an apocalyptic number.

791351191831225 is the 28130965-th square number.

791351191831225 is the 14065483-rd centered octagonal number.

It is an amenable number.

791351191831225 is a deficient number, since it is larger than the sum of its proper divisors (189924460451508).

791351191831225 is an frugal number, since it uses more digits than its factorization.

791351191831225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252396 (or 5626198 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 58.

The spelling of 791351191831225 in words is "seven hundred ninety-one trillion, three hundred fifty-one billion, one hundred ninety-one million, eight hundred thirty-one thousand, two hundred twenty-five".