5117164273225 has 27 divisors (see below), whose sum is σ = 6365191434357. Its totient is φ = 4080927847680.

The previous prime is 5117164273211. The next prime is 5117164273241. The reversal of 5117164273225 is 5223724617115.

The square root of 5117164273225 is 2262115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2571824823481 + 2545339449744 = 1603691^2 + 1595412^2 .

It is not a de Polignac number, because 5117164273225 - 2⁷ = 5117164273097 is a prime.

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, 5508249561 + ... + 5508250489.

Almost surely, 2^{5117164273225} is an apocalyptic number.

5117164273225 is the 2262115-th square number.

5117164273225 is the 1131058-th centered octagonal number.

It is an amenable number.

5117164273225 is a deficient number, since it is larger than the sum of its proper divisors (1248027161132).

5117164273225 is an frugal number, since it uses more digits than its factorization.

5117164273225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 1421 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The spelling of 5117164273225 in words is "five trillion, one hundred seventeen billion, one hundred sixty-four million, two hundred seventy-three thousand, two hundred twenty-five".