5185416676801 has 9 divisors (see below), whose sum is σ = 5308912455651. Its totient is φ = 5064729950952.

The previous prime is 5185416676789. The next prime is 5185416676829. The reversal of 5185416676801 is 1086766145815.

The square root of 5185416676801 is 2277151.

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., 56441880625 + 5128974796176 = 237575^2 + 2264724^2 .

It is not a de Polignac number, because 5185416676801 - 2²⁷ = 5185282459073 is a prime.

It is a super-2 number, since 2×5185416676801² (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 (5185416676861) 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, 97891015 + ... + 97943971.

It is an arithmetic number, because the mean of its divisors is an integer number (589879161739).

Almost surely, 2^{5185416676801} is an apocalyptic number.

5185416676801 is the 2277151-st square number.

5185416676801 is the 1138576-th centered octagonal number.

It is an amenable number.

5185416676801 is a deficient number, since it is larger than the sum of its proper divisors (123495778850).

5185416676801 is an frugal number, since it uses more digits than its factorization.

5185416676801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106000 (or 53000 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 5185416676801 in words is "five trillion, one hundred eighty-five billion, four hundred sixteen million, six hundred seventy-six thousand, eight hundred one".