679247947225 has 27 divisors (see below), whose sum is σ = 847682569279. Its totient is φ = 539926974800.

The previous prime is 679247947177. The next prime is 679247947237. The reversal of 679247947225 is 522749742976.

The square root of 679247947225 is 824165.

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

679247947225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 244529261001 + 434718686224 = 494499^2 + 659332^2 .

It is not a de Polignac number, because 679247947225 - 2¹³ = 679247939033 is a prime.

It is a super-2 number, since 2×679247947225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 787077144 + ... + 787078006.

Almost surely, 2^679247947225 is an apocalyptic number.

679247947225 is the 824165-th square number.

679247947225 is the 412083-rd centered octagonal number.

It is an amenable number.

679247947225 is a deficient number, since it is larger than the sum of its proper divisors (168434622054).

679247947225 is an frugal number, since it uses more digits than its factorization.

679247947225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 1059 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 64.

Multiplying 679247947225 by its sum of digits (64), we get a square (43471868622400 = 6593320²).

The spelling of 679247947225 in words is "six hundred seventy-nine billion, two hundred forty-seven million, nine hundred forty-seven thousand, two hundred twenty-five".