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2536257221 is a prime number
BaseRepresentation
bin1001011100101100…
…0011011011000101
320112202102012211122
42113023003123011
520143240212341
61055400443325
7116564554631
oct22713033305
96482365748
102536257221
111091718653
125a9479545
133155b5524
141a0babdc1
15ec9dd94b
hex972c36c5

2536257221 has 2 divisors, whose sum is σ = 2536257222. Its totient is φ = 2536257220.

The previous prime is 2536257187. The next prime is 2536257233. The reversal of 2536257221 is 1227526352.

2536257221 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., 1395844321 + 1140412900 = 37361^2 + 33770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2536257221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2536250221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1268128610 + 1268128611.

It is an arithmetic number, because the mean of its divisors is an integer number (1268128611).

Almost surely, 22536257221 is an apocalyptic number.

It is an amenable number.

2536257221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2536257221 is an equidigital number, since it uses as much as digits as its factorization.

2536257221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50400, while the sum is 35.

The square root of 2536257221 is about 50361.2670710339. The cubic root of 2536257221 is about 1363.7384921693.

The spelling of 2536257221 in words is "two billion, five hundred thirty-six million, two hundred fifty-seven thousand, two hundred twenty-one".