5101441097769 has 81 divisors (see below), whose sum is σ = 7958316332421. Its totient is φ = 3148359287040.

The previous prime is 5101441097761. The next prime is 5101441097773. The reversal of 5101441097769 is 9677901441015.

It is a happy number.

The square root of 5101441097769 is 2258637.

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

5101441097769 is a `hidden beast` number, since 5 + 101 + 441 + 0 + 97 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1672974099225 + 3428466998544 = 1293435^2 + 1851612^2 .

It is not a de Polignac number, because 5101441097769 - 2³ = 5101441097761 is a prime.

It is a super-2 number, since 2×5101441097769² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5101441097761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7717762299 + ... + 7717762959.

Almost surely, 2^{5101441097769} is an apocalyptic number.

5101441097769 is the 2258637-th square number.

5101441097769 is the 1129319-th centered octagonal number.

It is an amenable number.

5101441097769 is a deficient number, since it is larger than the sum of its proper divisors (2856875234652).

5101441097769 is an frugal number, since it uses more digits than its factorization.

5101441097769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 5101441097769 in words is "five trillion, one hundred one billion, four hundred forty-one million, ninety-seven thousand, seven hundred sixty-nine".