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4013520389 is a prime number
BaseRepresentation
bin1110111100111001…
…0111011000000101
3101100201010221221022
43233032113120011
531204430123024
61502131400525
7201313234424
oct35716273005
911321127838
104013520389
11177a5892aa
12940153145
134bc676748
142a10732bb
1518754635e
hexef397605

4013520389 has 2 divisors, whose sum is σ = 4013520390. Its totient is φ = 4013520388.

The previous prime is 4013520377. The next prime is 4013520391. The reversal of 4013520389 is 9830253104.

4013520389 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., 3728079364 + 285441025 = 61058^2 + 16895^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013520389 - 228 = 3745084933 is a prime.

It is a super-2 number, since 2×40135203892 = 32216691825837422642, which contains 22 as substring.

Together with 4013520391, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4013520349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006760194 + 2006760195.

It is an arithmetic number, because the mean of its divisors is an integer number (2006760195).

Almost surely, 24013520389 is an apocalyptic number.

It is an amenable number.

4013520389 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013520389 is an equidigital number, since it uses as much as digits as its factorization.

4013520389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4013520389 is about 63352.3510929152. The cubic root of 4013520389 is about 1589.1875639263.

The spelling of 4013520389 in words is "four billion, thirteen million, five hundred twenty thousand, three hundred eighty-nine".