5752471261761 has 81 divisors (see below), whose sum is σ = 9734841409059. Its totient is φ = 3263784904800.

The previous prime is 5752471261729. The next prime is 5752471261763. The reversal of 5752471261761 is 1671621742575.

The square root of 5752471261761 is 2398431.

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

5752471261761 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 4 + 7 + 12 + 617 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63387629361 + 5689083632400 = 251769^2 + 2385180^2 .

It is not a de Polignac number, because 5752471261761 - 2⁵ = 5752471261729 is a prime.

It is a super-2 number, since 2×5752471261761² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5752471261698 and 5752471261707.

It is not an unprimeable number, because it can be changed into a prime (5752471261763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9116435916 + ... + 9116436546.

Almost surely, 2^{5752471261761} is an apocalyptic number.

5752471261761 is the 2398431-st square number.

5752471261761 is the 1199216-th centered octagonal number.

It is an amenable number.

5752471261761 is a deficient number, since it is larger than the sum of its proper divisors (3982370147298).

5752471261761 is an frugal number, since it uses more digits than its factorization.

5752471261761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 822 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 5752471261761 in words is "five trillion, seven hundred fifty-two billion, four hundred seventy-one million, two hundred sixty-one thousand, seven hundred sixty-one".