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113536513 is a prime number
BaseRepresentation
bin1101100010001…
…10111000000001
321220122020211001
412301012320001
5213031132023
615133252001
72546021146
oct661067001
9256566731
10113536513
11590a7732
1232034001
131a6a2c8c
14111163cd
159e7a6ad
hex6c46e01

113536513 has 2 divisors, whose sum is σ = 113536514. Its totient is φ = 113536512.

The previous prime is 113536429. The next prime is 113536529. The reversal of 113536513 is 315635311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62599744 + 50936769 = 7912^2 + 7137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113536513 is a prime.

It is equal to p6494023 and since 113536513 and 6494023 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (113536583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56768256 + 56768257.

It is an arithmetic number, because the mean of its divisors is an integer number (56768257).

Almost surely, 2113536513 is an apocalyptic number.

It is an amenable number.

113536513 is a deficient number, since it is larger than the sum of its proper divisors (1).

113536513 is an equidigital number, since it uses as much as digits as its factorization.

113536513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4050, while the sum is 28.

The square root of 113536513 is about 10655.3513785328. The cubic root of 113536513 is about 484.2227434210. Note that the first 3 decimals are identical.

The spelling of 113536513 in words is "one hundred thirteen million, five hundred thirty-six thousand, five hundred thirteen".