73391381533129 has 27 divisors (see below), whose sum is σ = 80944978370823. Its totient is φ = 66492672523200.

The previous prime is 73391381533121. The next prime is 73391381533147. The reversal of 73391381533129 is 92133518319337.

The square root of 73391381533129 is 8566877.

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., 19790709255625 + 53600672277504 = 4448675^2 + 7321248^2 .

It is not a de Polignac number, because 73391381533129 - 2³ = 73391381533121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73391381533121) 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, 31757411884 + ... + 31757414194.

Almost surely, 2^{73391381533129} is an apocalyptic number.

73391381533129 is the 8566877-th square number.

73391381533129 is the 4283439-th centered octagonal number.

It is an amenable number.

73391381533129 is a deficient number, since it is larger than the sum of its proper divisors (7553596837694).

73391381533129 is an frugal number, since it uses more digits than its factorization.

73391381533129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 2659 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 58.

The spelling of 73391381533129 in words is "seventy-three trillion, three hundred ninety-one billion, three hundred eighty-one million, five hundred thirty-three thousand, one hundred twenty-nine".