5761675321801 has 81 divisors (see below), whose sum is σ = 7451316928629. Its totient is φ = 4440914489088.

The previous prime is 5761675321799. The next prime is 5761675321877. The reversal of 5761675321801 is 1081235761675.

The square root of 5761675321801 is 2400349.

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 2237570214201 + 3524105107600 = 1495851^2 + 1877260^2 .

It is not a de Polignac number, because 5761675321801 - 2¹ = 5761675321799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5761675321301) 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, 6569754775 + ... + 6569755651.

Almost surely, 2^{5761675321801} is an apocalyptic number.

5761675321801 is the 2400349-th square number.

5761675321801 is the 1200175-th centered octagonal number.

It is an amenable number.

5761675321801 is a deficient number, since it is larger than the sum of its proper divisors (1689641606828).

5761675321801 is an frugal number, since it uses more digits than its factorization.

5761675321801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 5761675321801 in words is "five trillion, seven hundred sixty-one billion, six hundred seventy-five million, three hundred twenty-one thousand, eight hundred one".