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1053813239 is a prime number
BaseRepresentation
bin111110110011111…
…110100111110111
32201102221020222222
4332303332213313
54124234010424
6252322512555
735054156543
oct7663764767
92642836888
101053813239
114a0939536
12254b0575b
1313a42c13b
149dd58a23
15627b0e5e
hex3ecfe9f7

1053813239 has 2 divisors, whose sum is σ = 1053813240. Its totient is φ = 1053813238.

The previous prime is 1053813217. The next prime is 1053813251. The reversal of 1053813239 is 9323183501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1053813239 is a prime.

It is a super-3 number, since 3×10538132393 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1053813199 and 1053813208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1053813259) 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, 526906619 + 526906620.

It is an arithmetic number, because the mean of its divisors is an integer number (526906620).

Almost surely, 21053813239 is an apocalyptic number.

1053813239 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053813239 is an equidigital number, since it uses as much as digits as its factorization.

1053813239 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 1053813239 is about 32462.4897227554. The cubic root of 1053813239 is about 1017.6252710557.

The spelling of 1053813239 in words is "one billion, fifty-three million, eight hundred thirteen thousand, two hundred thirty-nine".