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2541634013 is a prime number
BaseRepresentation
bin1001011101111110…
…0100000111011101
320120010112101102002
42113133210013131
520201124242023
61100112012045
7116661350462
oct22737440735
96503471362
102541634013
111094760286
125ab231025
13316748969
141a17ab669
15ed201b28
hex977e41dd

2541634013 has 2 divisors, whose sum is σ = 2541634014. Its totient is φ = 2541634012.

The previous prime is 2541634003. The next prime is 2541634019. The reversal of 2541634013 is 3104361452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2362154404 + 179479609 = 48602^2 + 13397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541634013 - 26 = 2541633949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2541634019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270817006 + 1270817007.

It is an arithmetic number, because the mean of its divisors is an integer number (1270817007).

Almost surely, 22541634013 is an apocalyptic number.

It is an amenable number.

2541634013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541634013 is an equidigital number, since it uses as much as digits as its factorization.

2541634013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2541634013 is about 50414.6210240640. The cubic root of 2541634013 is about 1364.7015073633.

Adding to 2541634013 its reverse (3104361452), we get a palindrome (5645995465).

The spelling of 2541634013 in words is "two billion, five hundred forty-one million, six hundred thirty-four thousand, thirteen".