792162301225 has 81 divisors (see below), whose sum is σ = 1076228146287. Its totient is φ = 578280660480.

The previous prime is 792162301199. The next prime is 792162301247. The reversal of 792162301225 is 522103261297.

The square root of 792162301225 is 890035.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24491937001 + 767670364224 = 156499^2 + 876168^2 .

It is not a de Polignac number, because 792162301225 - 2¹³ = 792162293033 is a prime.

It is a super-2 number, since 2×792162301225² (a number of 25 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 2799159934 + ... + 2799160216.

Almost surely, 2^792162301225 is an apocalyptic number.

792162301225 is the 890035-th square number.

792162301225 is the 445018-th centered octagonal number.

It is an amenable number.

792162301225 is a deficient number, since it is larger than the sum of its proper divisors (284065845062).

792162301225 is an equidigital number, since it uses as much as digits as its factorization.

792162301225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 792162301225 in words is "seven hundred ninety-two billion, one hundred sixty-two million, three hundred one thousand, two hundred twenty-five".