90693129409 has 3 divisors (see below), whose sum is σ = 90693430563. Its totient is φ = 90692828256.

The previous prime is 90693129361. The next prime is 90693129469. The reversal of 90693129409 is 90492139609.

The square root of 90693129409 is 301153.

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., 1009650625 + 89683478784 = 31775^2 + 299472^2 .

It is not a de Polignac number, because 90693129409 - 2¹³ = 90693121217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90693129469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 150577 + ... + 451729.

It is an arithmetic number, because the mean of its divisors is an integer number (30231143521).

Almost surely, 2^90693129409 is an apocalyptic number.

90693129409 is the 301153-rd square number.

90693129409 is the 150577-th centered octagonal number.

It is an amenable number.

90693129409 is a deficient number, since it is larger than the sum of its proper divisors (301154).

90693129409 is an frugal number, since it uses more digits than its factorization.

90693129409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602306 (or 301153 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 90693129409 in words is "ninety billion, six hundred ninety-three million, one hundred twenty-nine thousand, four hundred nine".