2564747233 has 2 divisors, whose sum is σ = 2564747234. Its totient is φ = 2564747232.

The previous prime is 2564747173. The next prime is 2564747239. The reversal of 2564747233 is 3327474652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1447650304 + 1117096929 = 38048^2 + 33423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564747233 - 2¹³ = 2564739041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564747233.

It is not a weakly prime, because it can be changed into another prime (2564747239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282373616 + 1282373617.

It is an arithmetic number, because the mean of its divisors is an integer number (1282373617).

Almost surely, 2^2564747233 is an apocalyptic number.

It is an amenable number.

2564747233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564747233 is an equidigital number, since it uses as much as digits as its factorization.

2564747233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 846720, while the sum is 43.

The square root of 2564747233 is about 50643.3335494416. Note that the first 3 decimals coincide. The cubic root of 2564747233 is about 1368.8258241795.

The spelling of 2564747233 in words is "two billion, five hundred sixty-four million, seven hundred forty-seven thousand, two hundred thirty-three".