793106019225 has 81 divisors (see below), whose sum is σ = 1538555841693. Its totient is φ = 390366699840.

The previous prime is 793106019203. The next prime is 793106019239. The reversal of 793106019225 is 522910601397.

It is a happy number.

The square root of 793106019225 is 890565.

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

793106019225 is a `hidden beast` number, since 7 + 9 + 3 + 10 + 601 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204424249689 + 588681769536 = 452133^2 + 767256^2 .

It is not a de Polignac number, because 793106019225 - 2⁹ = 793106018713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 173657892 + ... + 173662458.

Almost surely, 2^793106019225 is an apocalyptic number.

793106019225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

793106019225 is the 890565-th square number.

793106019225 is the 445283-rd centered octagonal number.

It is an amenable number.

793106019225 is a deficient number, since it is larger than the sum of its proper divisors (745449822468).

793106019225 is an equidigital number, since it uses as much as digits as its factorization.

793106019225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 793106019225 in words is "seven hundred ninety-three billion, one hundred six million, nineteen thousand, two hundred twenty-five".