5110986041001 has 9 divisors (see below), whose sum is σ = 7382545189149. Its totient is φ = 3407319505836.

The previous prime is 5110986040973. The next prime is 5110986041129. The reversal of 5110986041001 is 1001406890115.

It is a happy number.

The square root of 5110986041001 is 2260749.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 5110986041001 - 2⁵ = 5110986040969 is a prime.

It is a super-2 number, since 2×5110986041001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5110986041401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6405456 + ... + 7159038.

Almost surely, 2^{5110986041001} is an apocalyptic number.

5110986041001 is the 2260749-th square number.

5110986041001 is the 1130375-th centered octagonal number.

It is an amenable number.

5110986041001 is a deficient number, since it is larger than the sum of its proper divisors (2271559148148).

5110986041001 is an frugal number, since it uses more digits than its factorization.

5110986041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507172 (or 753586 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 5110986041001 by its sum of digits (36), we get a square (183995497476036 = 13564494²).

The spelling of 5110986041001 in words is "five trillion, one hundred ten billion, nine hundred eighty-six million, forty-one thousand, one".