4917239725225 has 81 divisors (see below), whose sum is σ = 6490059426669. Its totient is φ = 3695571801600.

The previous prime is 4917239725157. The next prime is 4917239725247. The reversal of 4917239725225 is 5225279327194.

The square root of 4917239725225 is 2217485.

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

It can be written as a sum of positive squares in 40 ways, for example, as 3173054628249 + 1744185096976 = 1781307^2 + 1320676^2 .

It is not a de Polignac number, because 4917239725225 - 2¹⁵ = 4917239692457 is a prime.

It is a Duffinian number.

Its product of digits (19051200) is a multiple of the sum of its prime divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 4917239725225.

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, 13182948139 + ... + 13182948511.

Almost surely, 2^{4917239725225} is an apocalyptic number.

4917239725225 is the 2217485-th square number.

4917239725225 is the 1108743-rd centered octagonal number.

It is an amenable number.

4917239725225 is a deficient number, since it is larger than the sum of its proper divisors (1572819701444).

4917239725225 is an frugal number, since it uses more digits than its factorization.

4917239725225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 58.

The spelling of 4917239725225 in words is "four trillion, nine hundred seventeen billion, two hundred thirty-nine million, seven hundred twenty-five thousand, two hundred twenty-five".