2256013012009 has 9 divisors (see below), whose sum is σ = 2293696276599. Its totient is φ = 2218939071960.

The previous prime is 2256013011929. The next prime is 2256013012037. The reversal of 2256013012009 is 9002103106522.

The square root of 2256013012009 is 1502003.

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

It can be written as a sum of positive squares in only one way, i.e., 73361347609 + 2182651664400 = 270853^2 + 1477380^2 .

It is not a de Polignac number, because 2256013012009 - 2²³ = 2256004623401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256013012079) 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, 91609872 + ... + 91634494.

Almost surely, 2^{2256013012009} is an apocalyptic number.

2256013012009 is the 1502003-rd square number.

2256013012009 is the 751002-nd centered octagonal number.

It is an amenable number.

2256013012009 is a deficient number, since it is larger than the sum of its proper divisors (37683264590).

2256013012009 is an frugal number, since it uses more digits than its factorization.

2256013012009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49368 (or 24684 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 2256013012009 in words is "two trillion, two hundred fifty-six billion, thirteen million, twelve thousand, nine".