75629950081 has 27 divisors (see below), whose sum is σ = 93497734467. Its totient is φ = 60985995840.

The previous prime is 75629950069. The next prime is 75629950117. The reversal of 75629950081 is 18005992657.

The square root of 75629950081 is 275009.

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., 58881449025 + 16748501056 = 242655^2 + 129416^2 .

It is not a de Polignac number, because 75629950081 - 2⁷ = 75629949953 is a prime.

It is a super-2 number, since 2×75629950081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75629950001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32724916 + ... + 32727226.

Almost surely, 2^75629950081 is an apocalyptic number.

75629950081 is the 275009-th square number.

75629950081 is the 137505-th centered octagonal number.

It is an amenable number.

75629950081 is a deficient number, since it is larger than the sum of its proper divisors (17867784386).

75629950081 is an frugal number, since it uses more digits than its factorization.

75629950081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 52.

The spelling of 75629950081 in words is "seventy-five billion, six hundred twenty-nine million, nine hundred fifty thousand, eighty-one".