900400013 has 2 divisors, whose sum is σ = 900400014. Its totient is φ = 900400012.

The previous prime is 900399979. The next prime is 900400027. The reversal of 900400013 is 310004009.

900400013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 895026889 + 5373124 = 29917^2 + 2318^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-900400013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 900399964 and 900400000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900400043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450200006 + 450200007.

It is an arithmetic number, because the mean of its divisors is an integer number (450200007).

Almost surely, 2^900400013 is an apocalyptic number.

It is an amenable number.

900400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

900400013 is an equidigital number, since it uses as much as digits as its factorization.

900400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 900400013 is about 30006.6661427090. Note that the first 3 decimals coincide. The cubic root of 900400013 is about 965.6324035321.

The spelling of 900400013 in words is "nine hundred million, four hundred thousand, thirteen".