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36513731 is a prime number
BaseRepresentation
bin1000101101001…
…0011111000011
32112201002102102
42023102133003
533321414411
63342341015
7622235012
oct213223703
975632372
1036513731
111967a341
121028a76b
137745a77
144bc6a79
153313d3b
hex22d27c3

36513731 has 2 divisors, whose sum is σ = 36513732. Its totient is φ = 36513730.

The previous prime is 36513707. The next prime is 36513733. The reversal of 36513731 is 13731563.

It is a happy number.

36513731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36513731 - 218 = 36251587 is a prime.

It is a super-2 number, since 2×365137312 = 2666505103080722, which contains 22 as substring.

Together with 36513733, 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 = 36513694 and 36513703.

It is not a weakly prime, because it can be changed into another prime (36513733) 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, 18256865 + 18256866.

It is an arithmetic number, because the mean of its divisors is an integer number (18256866).

Almost surely, 236513731 is an apocalyptic number.

36513731 is a deficient number, since it is larger than the sum of its proper divisors (1).

36513731 is an equidigital number, since it uses as much as digits as its factorization.

36513731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 29.

The square root of 36513731 is about 6042.6592655883. The cubic root of 36513731 is about 331.7559627019.

The spelling of 36513731 in words is "thirty-six million, five hundred thirteen thousand, seven hundred thirty-one".