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2563230013 is a prime number
BaseRepresentation
bin1001100011000111…
…1100100100111101
320121122011120112221
42120301330210331
520222141330023
61102202525341
7120343044541
oct23061744475
96548146487
102563230013
1110a5970713
125b6506851
1331b06a666
141a45cda21
1510006a85d
hex98c7c93d

2563230013 has 2 divisors, whose sum is σ = 2563230014. Its totient is φ = 2563230012.

The previous prime is 2563230011. The next prime is 2563230041. The reversal of 2563230013 is 3100323652.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2560663609 + 2566404 = 50603^2 + 1602^2 .

It is a cyclic number.

It is not a de Polignac number, because 2563230013 - 21 = 2563230011 is a prime.

Together with 2563230011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2563230013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2563230011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281615006 + 1281615007.

It is an arithmetic number, because the mean of its divisors is an integer number (1281615007).

Almost surely, 22563230013 is an apocalyptic number.

It is an amenable number.

2563230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563230013 is an equidigital number, since it uses as much as digits as its factorization.

2563230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 2563230013 is about 50628.3518692837. The cubic root of 2563230013 is about 1368.5558535109. Note that the first 3 decimals are identical.

Adding to 2563230013 its reverse (3100323652), we get a palindrome (5663553665).

The spelling of 2563230013 in words is "two billion, five hundred sixty-three million, two hundred thirty thousand, thirteen".