900075181580009 has 2 divisors, whose sum is σ = 900075181580010. Its totient is φ = 900075181580008.

The previous prime is 900075181579957. The next prime is 900075181580021. The reversal of 900075181580009 is 900085181570009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900075181570009 + 10000 = 30001253^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 900075181580009 - 2⁴⁰ = 898975669952233 is a prime.

It is not a weakly prime, because it can be changed into another prime (900075181580039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450037590790004 + 450037590790005.

It is an arithmetic number, because the mean of its divisors is an integer number (450037590790005).

Almost surely, 2^{900075181580009} is an apocalyptic number.

It is an amenable number.

900075181580009 is a deficient number, since it is larger than the sum of its proper divisors (1).

900075181580009 is an equidigital number, since it uses as much as digits as its factorization.

900075181580009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 907200, while the sum is 53.

The spelling of 900075181580009 in words is "nine hundred trillion, seventy-five billion, one hundred eighty-one million, five hundred eighty thousand, nine".