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252011021442013 is a prime number
BaseRepresentation
bin111001010011001111100011…
…011010011001101111011101
31020001022000111101102102211101
4321103033203122121233131
5231012422032442121023
62251552133123353101
7104040124020203011
oct7123174332315735
91201260441372741
10252011021442013
1173331301765789
1224321511222791
13aa806ca73a432
144633581770541
151e205b95a41ad
hexe533e3699bdd

252011021442013 has 2 divisors, whose sum is σ = 252011021442014. Its totient is φ = 252011021442012.

The previous prime is 252011021442007. The next prime is 252011021442203. The reversal of 252011021442013 is 310244120110252.

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., 240958468528569 + 11052552913444 = 15522837^2 + 3324538^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252011021442013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252011021442413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126005510721006 + 126005510721007.

It is an arithmetic number, because the mean of its divisors is an integer number (126005510721007).

Almost surely, 2252011021442013 is an apocalyptic number.

It is an amenable number.

252011021442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

252011021442013 is an equidigital number, since it uses as much as digits as its factorization.

252011021442013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 252011021442013 its reverse (310244120110252), we get a palindrome (562255141552265).

The spelling of 252011021442013 in words is "two hundred fifty-two trillion, eleven billion, twenty-one million, four hundred forty-two thousand, thirteen".