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63536131 is a prime number
BaseRepresentation
bin1111001001011…
…1110000000011
311102112222012001
43302113300003
5112231124011
610145444431
71401022351
oct362276003
9142488161
1063536131
11329566aa
1219340717
1310217659
14861c7d1
1558a07c1
hex3c97c03

63536131 has 2 divisors, whose sum is σ = 63536132. Its totient is φ = 63536130.

The previous prime is 63536113. The next prime is 63536149. The reversal of 63536131 is 13163536.

63536131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (63536113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (63536113) and next prime (63536149).

It is a cyclic number.

It is not a de Polignac number, because 63536131 - 27 = 63536003 is a prime.

It is a super-2 number, since 2×635361312 = 8073679884898322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 63536131.

It is not a weakly prime, because it can be changed into another prime (63531131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31768065 + 31768066.

It is an arithmetic number, because the mean of its divisors is an integer number (31768066).

Almost surely, 263536131 is an apocalyptic number.

63536131 is a deficient number, since it is larger than the sum of its proper divisors (1).

63536131 is an equidigital number, since it uses as much as digits as its factorization.

63536131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 28.

The square root of 63536131 is about 7970.9554634310. The cubic root of 63536131 is about 399.0312620108.

Adding to 63536131 its reverse (13163536), we get a palindrome (76699667).

The spelling of 63536131 in words is "sixty-three million, five hundred thirty-six thousand, one hundred thirty-one".