5742759961 has 3 divisors (see below), whose sum is σ = 5742835743. Its totient is φ = 5742684180.

The previous prime is 5742759959. The next prime is 5742760033. The reversal of 5742759961 is 1699572475.

It is a happy number.

The square root of 5742759961 is 75781.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1137780361 + 4604979600 = 33731^2 + 67860^2 .

It is not a de Polignac number, because 5742759961 - 2¹ = 5742759959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5742759161) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 37891 + ... + 113671.

It is an arithmetic number, because the mean of its divisors is an integer number (1914278581).

Almost surely, 2^5742759961 is an apocalyptic number.

5742759961 is the 75781-st square number.

5742759961 is the 37891-st centered octagonal number.

It is an amenable number.

5742759961 is a deficient number, since it is larger than the sum of its proper divisors (75782).

5742759961 is an frugal number, since it uses more digits than its factorization.

5742759961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151562 (or 75781 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 55.

The cubic root of 5742759961 is about 1790.7716948738.

It can be divided in two parts, 5742 and 759961, that added together give a triangular number (765703 = T₁₂₃₇).

The spelling of 5742759961 in words is "five billion, seven hundred forty-two million, seven hundred fifty-nine thousand, nine hundred sixty-one".