2263553641 has 2 divisors, whose sum is σ = 2263553642. Its totient is φ = 2263553640.

The previous prime is 2263553603. The next prime is 2263553651. The reversal of 2263553641 is 1463553622.

2263553641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1212432400 + 1051121241 = 34820^2 + 32421^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263553641 - 2²⁷ = 2129335913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2263553641.

It is not a weakly prime, because it can be changed into another prime (2263553651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131776820 + 1131776821.

It is an arithmetic number, because the mean of its divisors is an integer number (1131776821).

Almost surely, 2^2263553641 is an apocalyptic number.

It is an amenable number.

2263553641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263553641 is an equidigital number, since it uses as much as digits as its factorization.

2263553641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 129600, while the sum is 37.

The square root of 2263553641 is about 47576.8183152257. The cubic root of 2263553641 is about 1312.9965861633.

The spelling of 2263553641 in words is "two billion, two hundred sixty-three million, five hundred fifty-three thousand, six hundred forty-one".