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36376011010513 is a prime number
BaseRepresentation
bin10000100010101011100110…
…01101101111000111010001
311202210111211202021202021001
420101111303031233013101
514231441032304314023
6205210524143102001
710443036314636506
oct1021256315570721
9152714752252231
1036376011010513
1110654a85992a59
1240b5ab85a1901
13173b321197835
148da87336b4ad
154313545e16ad
hex21157336f1d1

36376011010513 has 2 divisors, whose sum is σ = 36376011010514. Its totient is φ = 36376011010512.

The previous prime is 36376011010483. The next prime is 36376011010517. The reversal of 36376011010513 is 31501011067363.

36376011010513 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 can be written as a sum of positive squares in only one way, i.e., 29735994237184 + 6640016773329 = 5453072^2 + 2576823^2 .

It is a cyclic number.

It is not a de Polignac number, because 36376011010513 - 25 = 36376011010481 is a prime.

It is not a weakly prime, because it can be changed into another prime (36376011010517) 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, 18188005505256 + 18188005505257.

It is an arithmetic number, because the mean of its divisors is an integer number (18188005505257).

Almost surely, 236376011010513 is an apocalyptic number.

It is an amenable number.

36376011010513 is a deficient number, since it is larger than the sum of its proper divisors (1).

36376011010513 is an equidigital number, since it uses as much as digits as its factorization.

36376011010513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

Adding to 36376011010513 its reverse (31501011067363), we get a palindrome (67877022077876).

The spelling of 36376011010513 in words is "thirty-six trillion, three hundred seventy-six billion, eleven million, ten thousand, five hundred thirteen".