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251412114553 is a prime number
BaseRepresentation
bin1110101000100101010…
…1000110110001111001
3220000221100020201010021
43222021111012301321
513104343000131203
6311255214050441
724110140466545
oct3521125066171
9800840221107
10251412114553
1197694647876
12408854a9a21
131a9287bc832
14c250198a25
156816ca35bd
hex3a89546c79

251412114553 has 2 divisors, whose sum is σ = 251412114554. Its totient is φ = 251412114552.

The previous prime is 251412114533. The next prime is 251412114631. The reversal of 251412114553 is 355411214152.

251412114553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180172234089 + 71239880464 = 424467^2 + 266908^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-251412114553 is a prime.

It is not a weakly prime, because it can be changed into another prime (251412114533) 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, 125706057276 + 125706057277.

It is an arithmetic number, because the mean of its divisors is an integer number (125706057277).

Almost surely, 2251412114553 is an apocalyptic number.

It is an amenable number.

251412114553 is a deficient number, since it is larger than the sum of its proper divisors (1).

251412114553 is an equidigital number, since it uses as much as digits as its factorization.

251412114553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24000, while the sum is 34.

The spelling of 251412114553 in words is "two hundred fifty-one billion, four hundred twelve million, one hundred fourteen thousand, five hundred fifty-three".