8152435431009 has 9 divisors (see below), whose sum is σ = 11775752439763. Its totient is φ = 5434951243512.

The previous prime is 8152435430999. The next prime is 8152435431029. The reversal of 8152435431009 is 9001345342518.

The square root of 8152435431009 is 2855247.

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

8152435431009 is a `hidden beast` number, since 8 + 1 + 52 + 43 + 543 + 10 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6151625181009 + 2000810250000 = 2480247^2 + 1414500^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8152435431009 - 2⁵ = 8152435430977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8152435431029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8089867 + ... + 9041615.

Almost surely, 2^{8152435431009} is an apocalyptic number.

8152435431009 is the 2855247-th square number.

8152435431009 is the 1427624-th centered octagonal number.

It is an amenable number.

8152435431009 is a deficient number, since it is larger than the sum of its proper divisors (3623317008754).

8152435431009 is an frugal number, since it uses more digits than its factorization.

8152435431009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903504 (or 951752 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 8152435431009 in words is "eight trillion, one hundred fifty-two billion, four hundred thirty-five million, four hundred thirty-one thousand, nine".