Search a number
-
+
2536257233 is a prime number
BaseRepresentation
bin1001011100101100…
…0011011011010001
320112202102012212002
42113023003123101
520143240212413
61055400443345
7116564554646
oct22713033321
96482365762
102536257233
111091718664
125a9479555
133155b5533
141a0babdcd
15ec9dd958
hex972c36d1

2536257233 has 2 divisors, whose sum is σ = 2536257234. Its totient is φ = 2536257232.

The previous prime is 2536257221. The next prime is 2536257239. The reversal of 2536257233 is 3327526352.

2536257233 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., 2383685329 + 152571904 = 48823^2 + 12352^2 .

It is a cyclic number.

It is not a de Polignac number, because 2536257233 - 26 = 2536257169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2536257239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1268128616 + 1268128617.

It is an arithmetic number, because the mean of its divisors is an integer number (1268128617).

Almost surely, 22536257233 is an apocalyptic number.

It is an amenable number.

2536257233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2536257233 is an equidigital number, since it uses as much as digits as its factorization.

2536257233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 226800, while the sum is 38.

The square root of 2536257233 is about 50361.2671901730. The cubic root of 2536257233 is about 1363.7384943201.

The spelling of 2536257233 in words is "two billion, five hundred thirty-six million, two hundred fifty-seven thousand, two hundred thirty-three".