9000085413 has 32 divisors (see below), whose sum is σ = 14156052480. Its totient is φ = 5024495360.

The previous prime is 9000085399. The next prime is 9000085463. The reversal of 9000085413 is 3145800009.

It is a cyclic number.

It is not a de Polignac number, because 9000085413 - 2¹⁸ = 8999823269 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000085463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144303 + ... + 197036.

It is an arithmetic number, because the mean of its divisors is an integer number (442376640).

Almost surely, 2^9000085413 is an apocalyptic number.

It is an amenable number.

9000085413 is a deficient number, since it is larger than the sum of its proper divisors (5155967067).

9000085413 is a wasteful number, since it uses less digits than its factorization.

9000085413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341417.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9000085413 is about 94868.7799700196. The cubic root of 9000085413 is about 2080.0904032607.

The spelling of 9000085413 in words is "nine billion, eighty-five thousand, four hundred thirteen".