2256535009 has 9 divisors (see below), whose sum is σ = 2293952787. Its totient is φ = 2219720184.

The previous prime is 2256534989. The next prime is 2256535013. The reversal of 2256535009 is 9005356522.

The square root of 2256535009 is 47503.

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., 301126609 + 1955408400 = 17353^2 + 44220^2 .

It is not a de Polignac number, because 2256535009 - 2⁵ = 2256534977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256535109) 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, 3182347 + ... + 3183055.

It is an arithmetic number, because the mean of its divisors is an integer number (254883643).

Almost surely, 2^2256535009 is an apocalyptic number.

2256535009 is the 47503-rd square number.

2256535009 is the 23752-nd centered octagonal number.

It is an amenable number.

2256535009 is a deficient number, since it is larger than the sum of its proper divisors (37417778).

2256535009 is an frugal number, since it uses more digits than its factorization.

2256535009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The cubic root of 2256535009 is about 1311.6381055654.

The spelling of 2256535009 in words is "two billion, two hundred fifty-six million, five hundred thirty-five thousand, nine".