5783779692601 has 27 divisors (see below), whose sum is σ = 6249364231887. Its totient is φ = 5352262098480.

The previous prime is 5783779692589. The next prime is 5783779692617. The reversal of 5783779692601 is 1062969773875.

The square root of 5783779692601 is 2404949.

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., 5722214173225 + 61565519376 = 2392115^2 + 248124^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5783779692601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5783779692631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1714726951 + ... + 1714730323.

Almost surely, 2^{5783779692601} is an apocalyptic number.

5783779692601 is the 2404949-th square number.

5783779692601 is the 1202475-th centered octagonal number.

It is an amenable number.

5783779692601 is a deficient number, since it is larger than the sum of its proper divisors (465584539286).

5783779692601 is an frugal number, since it uses more digits than its factorization.

5783779692601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 70.

The spelling of 5783779692601 in words is "five trillion, seven hundred eighty-three billion, seven hundred seventy-nine million, six hundred ninety-two thousand, six hundred one".