5167915623025 has 27 divisors (see below), whose sum is σ = 6453078102219. Its totient is φ = 4105588830000.

The previous prime is 5167915622981. The next prime is 5167915623041. The reversal of 5167915623025 is 5203265197615.

The square root of 5167915623025 is 2273305.

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

It can be written as a sum of positive squares in only one way, i.e., 1860449624289 + 3307465998736 = 1363983^2 + 1818644^2 .

It is not a de Polignac number, because 5167915623025 - 2³⁵ = 5133555884657 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 1716343770 + ... + 1716346780.

Almost surely, 2^{5167915623025} is an apocalyptic number.

5167915623025 is the 2273305-th square number.

5167915623025 is the 1136653-rd centered octagonal number.

It is an amenable number.

5167915623025 is a deficient number, since it is larger than the sum of its proper divisors (1285162479194).

5167915623025 is an frugal number, since it uses more digits than its factorization.

5167915623025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 5167915623025 in words is "five trillion, one hundred sixty-seven billion, nine hundred fifteen million, six hundred twenty-three thousand, twenty-five".