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2038138561 is a prime number
BaseRepresentation
bin111100101111011…
…1000011011000001
312021001010011111101
41321132320123001
513133230413221
6534124214401
7101335614634
oct17136703301
95231104441
102038138561
11956526738
1248a69a401
1326633b864
14154985c1b
15bdde7d91
hex797b86c1

2038138561 has 2 divisors, whose sum is σ = 2038138562. Its totient is φ = 2038138560.

The previous prime is 2038138477. The next prime is 2038138591. The reversal of 2038138561 is 1658318302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1911350961 + 126787600 = 43719^2 + 11260^2 .

It is a cyclic number.

It is not a de Polignac number, because 2038138561 - 29 = 2038138049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2038138561.

It is not a weakly prime, because it can be changed into another prime (2038138591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019069280 + 1019069281.

It is an arithmetic number, because the mean of its divisors is an integer number (1019069281).

Almost surely, 22038138561 is an apocalyptic number.

It is an amenable number.

2038138561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2038138561 is an equidigital number, since it uses as much as digits as its factorization.

2038138561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2038138561 is about 45145.7479836141. The cubic root of 2038138561 is about 1267.8792723494.

The spelling of 2038138561 in words is "two billion, thirty-eight million, one hundred thirty-eight thousand, five hundred sixty-one".