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2536608241 is a prime number
BaseRepresentation
bin1001011100110001…
…1001000111110001
320112210002001100101
42113030121013301
520143332430431
61055412152401
7116600546206
oct22714310761
96483061311
102536608241
111091938352
125a9608701
133156a922b
141a0c5dcad
15eca5c961
hex973191f1

2536608241 has 2 divisors, whose sum is σ = 2536608242. Its totient is φ = 2536608240.

The previous prime is 2536608209. The next prime is 2536608311. The reversal of 2536608241 is 1428066352.

2536608241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1348358400 + 1188249841 = 36720^2 + 34471^2 .

It is a cyclic number.

It is not a de Polignac number, because 2536608241 - 25 = 2536608209 is a prime.

It is a super-2 number, since 2×25366082412 = 12868762736618228162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2536608241.

It is not a weakly prime, because it can be changed into another prime (2536608341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1268304120 + 1268304121.

It is an arithmetic number, because the mean of its divisors is an integer number (1268304121).

Almost surely, 22536608241 is an apocalyptic number.

It is an amenable number.

2536608241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2536608241 is an equidigital number, since it uses as much as digits as its factorization.

2536608241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2536608241 is about 50364.7519700038. The cubic root of 2536608241 is about 1363.8014034281.

The spelling of 2536608241 in words is "two billion, five hundred thirty-six million, six hundred eight thousand, two hundred forty-one".