79051392477225 has 405 divisors, whose sum is σ = 175599879086073. Its totient is φ = 33895945681920.

The previous prime is 79051392477149. The next prime is 79051392477241. The reversal of 79051392477225 is 52277429315097.

It is a happy number.

The square root of 79051392477225 is 8891085.

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

79051392477225 is a `hidden beast` number, since 7 + 9 + 0 + 5 + 139 + 2 + 477 + 2 + 25 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 23065322153769 + 55986070323456 = 4802637^2 + 7482384^2 .

It is a de Polignac number, because none of the positive numbers 2^k-79051392477225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 269799974179 + ... + 269799974471.

Almost surely, 2^{79051392477225} is an apocalyptic number.

79051392477225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

79051392477225 is the 8891085-th square number.

79051392477225 is the 4445543-rd centered octagonal number.

It is an amenable number.

79051392477225 is an abundant number, since it is smaller than the sum of its proper divisors (96548486608848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79051392477225 is an frugal number, since it uses more digits than its factorization.

79051392477225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 79051392477225 in words is "seventy-nine trillion, fifty-one billion, three hundred ninety-two million, four hundred seventy-seven thousand, two hundred twenty-five".