9009312401 has 8 divisors (see below), whose sum is σ = 9541168200. Its totient is φ = 8477667328.

The previous prime is 9009312371. The next prime is 9009312437. The reversal of 9009312401 is 1042139009.

It is a happy number.

9009312401 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 4 ways, for example, as 1098988801 + 7910323600 = 33151^2 + 88940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9009312401 - 2²⁶ = 8942203537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9009312461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40025 + ... + 140073.

It is an arithmetic number, because the mean of its divisors is an integer number (1192646025).

Almost surely, 2^9009312401 is an apocalyptic number.

It is an amenable number.

9009312401 is a deficient number, since it is larger than the sum of its proper divisors (531855799).

9009312401 is a wasteful number, since it uses less digits than its factorization.

9009312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105363.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 9009312401 is about 94917.3977782788. The cubic root of 9009312401 is about 2080.8010044418.

The spelling of 9009312401 in words is "nine billion, nine million, three hundred twelve thousand, four hundred one".