90990013 has 2 divisors, whose sum is σ = 90990014. Its totient is φ = 90990012.

The previous prime is 90990007. The next prime is 90990019. The reversal of 90990013 is 31009909.

It is a balanced prime because it is at equal distance from previous prime (90990007) and next prime (90990019).

It can be written as a sum of positive squares in only one way, i.e., 52388644 + 38601369 = 7238^2 + 6213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90990013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90990019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45495006 + 45495007.

It is an arithmetic number, because the mean of its divisors is an integer number (45495007).

Almost surely, 2^90990013 is an apocalyptic number.

It is an amenable number.

90990013 is a deficient number, since it is larger than the sum of its proper divisors (1).

90990013 is an equidigital number, since it uses as much as digits as its factorization.

90990013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 90990013 is about 9538.8685387733. The cubic root of 90990013 is about 449.7776893683. Note that the first 3 decimals are identical.

The spelling of 90990013 in words is "ninety million, nine hundred ninety thousand, thirteen".