5000505464761 has 9 divisors (see below), whose sum is σ = 5125537709229. Its totient is φ = 4878452469600.

The previous prime is 5000505464639. The next prime is 5000505464783. The reversal of 5000505464761 is 1674645050005.

The square root of 5000505464761 is 2236181.

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 4252384261161 + 748121203600 = 2062131^2 + 864940^2 .

It is not a de Polignac number, because 5000505464761 - 2¹⁷ = 5000505333689 is a prime.

It is a super-2 number, since 2×5000505464761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5000505474761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91656151 + ... + 91710691.

Almost surely, 2^{5000505464761} is an apocalyptic number.

5000505464761 is the 2236181-st square number.

5000505464761 is the 1118091-st centered octagonal number.

It is an amenable number.

5000505464761 is a deficient number, since it is larger than the sum of its proper divisors (125032244468).

5000505464761 is an frugal number, since it uses more digits than its factorization.

5000505464761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109164 (or 54582 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 5000505464761 in words is "five trillion, five hundred five million, four hundred sixty-four thousand, seven hundred sixty-one".