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2585374849 is a prime number
BaseRepresentation
bin1001101000011001…
…1011000010000001
320200011211122120001
42122012123002001
520243323443344
61104313320001
7121032216001
oct23206330201
96604748501
102585374849
111107416432
12601a06001
13322822105
141a7516001
15101e91ed4
hex9a19b081

2585374849 has 2 divisors, whose sum is σ = 2585374850. Its totient is φ = 2585374848.

The previous prime is 2585374829. The next prime is 2585374861. The reversal of 2585374849 is 9484735852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2326325824 + 259049025 = 48232^2 + 16095^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585374849 - 25 = 2585374817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2585374849.

It is not a weakly prime, because it can be changed into another prime (2585374819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292687424 + 1292687425.

It is an arithmetic number, because the mean of its divisors is an integer number (1292687425).

Almost surely, 22585374849 is an apocalyptic number.

It is an amenable number.

2585374849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585374849 is an equidigital number, since it uses as much as digits as its factorization.

2585374849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9676800, while the sum is 55.

The square root of 2585374849 is about 50846.5814878444. The cubic root of 2585374849 is about 1372.4857368378.

The spelling of 2585374849 in words is "two billion, five hundred eighty-five million, three hundred seventy-four thousand, eight hundred forty-nine".