75767517081 has 9 divisors (see below), whose sum is σ = 109443161919. Its totient is φ = 50511127536.

The previous prime is 75767517071. The next prime is 75767517097. The reversal of 75767517081 is 18071576757.

The square root of 75767517081 is 275259.

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

It can be written as a sum of positive squares in only one way, i.e., 42137825625 + 33629691456 = 205275^2 + 183384^2 .

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

It is not a de Polignac number, because 75767517081 - 2²¹ = 75765419929 is a prime.

It is a super-2 number, since 2×75767517081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75767517071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 779901 + ... + 871653.

Almost surely, 2^75767517081 is an apocalyptic number.

75767517081 is the 275259-th square number.

75767517081 is the 137630-th centered octagonal number.

It is an amenable number.

75767517081 is a deficient number, since it is larger than the sum of its proper divisors (33675644838).

75767517081 is an frugal number, since it uses more digits than its factorization.

75767517081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183512 (or 91756 counting only the distinct ones).

The product of its (nonzero) digits is 2881200, while the sum is 54.

The spelling of 75767517081 in words is "seventy-five billion, seven hundred sixty-seven million, five hundred seventeen thousand, eighty-one".