2263951561 has 3 divisors (see below), whose sum is σ = 2263999143. Its totient is φ = 2263903980.

The previous prime is 2263951549. The next prime is 2263951589. The reversal of 2263951561 is 1651593622.

The square root of 2263951561 is 47581.

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

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 can be written as a sum of positive squares in only one way, i.e., 1649903161 + 614048400 = 40619^2 + 24780^2 .

It is not a de Polignac number, because 2263951561 - 2²¹ = 2261854409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2263951541) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23791 + ... + 71371.

It is an arithmetic number, because the mean of its divisors is an integer number (754666381).

Almost surely, 2^2263951561 is an apocalyptic number.

2263951561 is the 47581-st square number.

2263951561 is the 23791-st centered octagonal number.

It is an amenable number.

2263951561 is a deficient number, since it is larger than the sum of its proper divisors (47582).

2263951561 is an frugal number, since it uses more digits than its factorization.

2263951561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95162 (or 47581 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The cubic root of 2263951561 is about 1313.0735207938.

The spelling of 2263951561 in words is "two billion, two hundred sixty-three million, nine hundred fifty-one thousand, five hundred sixty-one".