1610744260801 has 27 divisors (see below), whose sum is σ = 1755887207529. Its totient is φ = 1476926248512.

The previous prime is 1610744260793. The next prime is 1610744260819. The reversal of 1610744260801 is 1080624470161.

The square root of 1610744260801 is 1269151.

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 682026570801 + 928717690000 = 825849^2 + 963700^2 .

It is not a de Polignac number, because 1610744260801 - 2³ = 1610744260793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1610744260891) 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, 3844258170 + ... + 3844258588.

Almost surely, 2^{1610744260801} is an apocalyptic number.

1610744260801 is the 1269151-st square number.

1610744260801 is the 634576-th centered octagonal number.

It is an amenable number.

1610744260801 is a deficient number, since it is larger than the sum of its proper divisors (145142946728).

1610744260801 is an frugal number, since it uses more digits than its factorization.

1610744260801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 1610744260801 in words is "one trillion, six hundred ten billion, seven hundred forty-four million, two hundred sixty thousand, eight hundred one".