51571342579761 has 9 divisors (see below), whose sum is σ = 74491970400939. Its totient is φ = 34380880690536.

The previous prime is 51571342579723. The next prime is 51571342579763. The reversal of 51571342579761 is 16797524317515.

The square root of 51571342579761 is 7181319.

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

51571342579761 is a `hidden beast` number, since 5 + 1 + 5 + 7 + 13 + 42 + 579 + 7 + 6 + 1 = 666.

51571342579761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39472382117025 + 12098960462736 = 6282705^2 + 3478356^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 51571342579761 - 2¹⁵ = 51571342546993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51571342579763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20347071 + ... + 22740843.

Almost surely, 2^{51571342579761} is an apocalyptic number.

51571342579761 is the 7181319-th square number.

51571342579761 is the 3590660-th centered octagonal number.

It is an amenable number.

51571342579761 is a deficient number, since it is larger than the sum of its proper divisors (22920627821178).

51571342579761 is an frugal number, since it uses more digits than its factorization.

51571342579761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787552 (or 2393776 counting only the distinct ones).

The product of its digits is 55566000, while the sum is 63.

The spelling of 51571342579761 in words is "fifty-one trillion, five hundred seventy-one billion, three hundred forty-two million, five hundred seventy-nine thousand, seven hundred sixty-one".