5165726517 has 48 divisors (see below), whose sum is σ = 8985600000. Its totient is φ = 2793608352.

The previous prime is 5165726513. The next prime is 5165726549. The reversal of 5165726517 is 7156275615.

5165726517 is a `hidden beast` number, since 5 + 1 + 6 + 572 + 65 + 17 = 666.

It is not a de Polignac number, because 5165726517 - 2² = 5165726513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165726513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720984 + ... + 1723982.

It is an arithmetic number, because the mean of its divisors is an integer number (187200000).

Almost surely, 2^5165726517 is an apocalyptic number.

5165726517 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5165726517 is a deficient number, since it is larger than the sum of its proper divisors (3819873483).

5165726517 is a wasteful number, since it uses less digits than its factorization.

5165726517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4467 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 5165726517 is about 71872.9887857740. The cubic root of 5165726517 is about 1728.6635313884.

The spelling of 5165726517 in words is "five billion, one hundred sixty-five million, seven hundred twenty-six thousand, five hundred seventeen".