900515009 has 2 divisors, whose sum is σ = 900515010. Its totient is φ = 900515008.

The previous prime is 900515003. The next prime is 900515017.

900515009 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 880012225 + 20502784 = 29665^2 + 4528^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 900515009 - 2¹² = 900510913 is a prime.

It is equal to p_46034336 and since 900515009 and 46034336 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (900515003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450257504 + 450257505.

It is an arithmetic number, because the mean of its divisors is an integer number (450257505).

Almost surely, 2^900515009 is an apocalyptic number.

It is an amenable number.

900515009 is a deficient number, since it is larger than the sum of its proper divisors (1).

900515009 is an equidigital number, since it uses as much as digits as its factorization.

900515009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 900515009 is about 30008.5822557481. The cubic root of 900515009 is about 965.6735108678.

The spelling of 900515009 in words is "nine hundred million, five hundred fifteen thousand, nine".