90385058309 has 16 divisors (see below), whose sum is σ = 113610029568. Its totient is φ = 69991886592.

The previous prime is 90385058293. The next prime is 90385058347.

90385058309 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 90385058309 - 2⁴ = 90385058293 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90385058369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10562132 + ... + 10570685.

It is an arithmetic number, because the mean of its divisors is an integer number (7100626848).

Almost surely, 2^90385058309 is an apocalyptic number.

It is an amenable number.

90385058309 is a deficient number, since it is larger than the sum of its proper divisors (23224971259).

90385058309 is a wasteful number, since it uses less digits than its factorization.

90385058309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132884.

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 90385058309 in words is "ninety billion, three hundred eighty-five million, fifty-eight thousand, three hundred nine".