900075181570009 has 3 divisors (see below), whose sum is σ = 900075211571263. Its totient is φ = 900075151568756.

The previous prime is 900075181569997. The next prime is 900075181570021.

It is a happy number.

The square root of 900075181570009 is 30001253.

It is a perfect power (a square), and thus also a powerful number.

900075181570009 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (900075181569997) and next prime (900075181570021).

It can be written as a sum of positive squares in only one way, i.e., 894381097502025 + 5694084067984 = 29906205^2 + 2386228^2 .

It is not a de Polignac number, because 900075181570009 - 2¹⁵ = 900075181537241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900075181580009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15000627 + ... + 45001879.

Almost surely, 2^{900075181570009} is an apocalyptic number.

900075181570009 is the 30001253-rd square number.

900075181570009 is the 15000627-th centered octagonal number.

It is an amenable number.

900075181570009 is a deficient number, since it is larger than the sum of its proper divisors (30001254).

900075181570009 is an frugal number, since it uses more digits than its factorization.

900075181570009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60002506 (or 30001253 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 52.

The spelling of 900075181570009 in words is "nine hundred trillion, seventy-five billion, one hundred eighty-one million, five hundred seventy thousand, nine".