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253445045213 is a prime number
BaseRepresentation
bin1110110000001010000…
…0000111101111011101
3220020012000120021201102
43230002200013233131
513123023412421323
6312233034522445
724211414224233
oct3540240075735
9806160507642
10253445045213
1198538136758
1241152296425
131ab90a26a99
14c3a4186953
1568d54bd328
hex3b02807bdd

253445045213 has 2 divisors, whose sum is σ = 253445045214. Its totient is φ = 253445045212.

The previous prime is 253445045137. The next prime is 253445045257. The reversal of 253445045213 is 312540544352.

253445045213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186812399524 + 66632645689 = 432218^2 + 258133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253445045213 is a prime.

It is a super-2 number, since 2×2534450452132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253445045713) 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, 126722522606 + 126722522607.

It is an arithmetic number, because the mean of its divisors is an integer number (126722522607).

Almost surely, 2253445045213 is an apocalyptic number.

It is an amenable number.

253445045213 is a deficient number, since it is larger than the sum of its proper divisors (1).

253445045213 is an equidigital number, since it uses as much as digits as its factorization.

253445045213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 253445045213 its reverse (312540544352), we get a palindrome (565985589565).

The spelling of 253445045213 in words is "two hundred fifty-three billion, four hundred forty-five million, forty-five thousand, two hundred thirteen".