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251212113255013 is a prime number
BaseRepresentation
bin111001000111100111100000…
…110001100001101001100101
31012221110122101002201112201021
4321013213200301201221211
5230411324401443130023
62250141130204331141
7103625322231515161
oct7107474061415145
91187418332645637
10251212113255013
1173053505934289
1224212710543ab1
13aa2327ba36171
144606a34415ca1
151e0990c07c35d
hexe479e0c61a65

251212113255013 has 2 divisors, whose sum is σ = 251212113255014. Its totient is φ = 251212113255012.

The previous prime is 251212113254953. The next prime is 251212113255029. The reversal of 251212113255013 is 310552311212152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207177966367684 + 44034146887329 = 14393678^2 + 6635823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-251212113255013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251212113255013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251212113255613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125606056627506 + 125606056627507.

It is an arithmetic number, because the mean of its divisors is an integer number (125606056627507).

Almost surely, 2251212113255013 is an apocalyptic number.

It is an amenable number.

251212113255013 is a deficient number, since it is larger than the sum of its proper divisors (1).

251212113255013 is an equidigital number, since it uses as much as digits as its factorization.

251212113255013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 251212113255013 its reverse (310552311212152), we get a palindrome (561764424467165).

The spelling of 251212113255013 in words is "two hundred fifty-one trillion, two hundred twelve billion, one hundred thirteen million, two hundred fifty-five thousand, thirteen".