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8253413141 is a prime number
BaseRepresentation
bin1111010111111000…
…10001011100010101
3210022012020211101012
413223330101130111
5113400333210031
63442551142005
7411345565661
oct75374213425
923265224335
108253413141
1135559224a6
121724074905
13a16bac21c
145841d18a1
153348a5b2b
hex1ebf11715

8253413141 has 2 divisors, whose sum is σ = 8253413142. Its totient is φ = 8253413140.

The previous prime is 8253413111. The next prime is 8253413143. The reversal of 8253413141 is 1413143528.

8253413141 is digitally balanced in base 3, 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., 8181926116 + 71487025 = 90454^2 + 8455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8253413141 is a prime.

Together with 8253413143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8253413098 and 8253413107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8253413143) 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, 4126706570 + 4126706571.

It is an arithmetic number, because the mean of its divisors is an integer number (4126706571).

Almost surely, 28253413141 is an apocalyptic number.

It is an amenable number.

8253413141 is a deficient number, since it is larger than the sum of its proper divisors (1).

8253413141 is an equidigital number, since it uses as much as digits as its factorization.

8253413141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 32.

The square root of 8253413141 is about 90848.2974028683. The cubic root of 8253413141 is about 2020.8986248622.

Adding to 8253413141 its reverse (1413143528), we get a palindrome (9666556669).

The spelling of 8253413141 in words is "eight billion, two hundred fifty-three million, four hundred thirteen thousand, one hundred forty-one".