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65413319 is a prime number
BaseRepresentation
bin1111100110001…
…0000011000111
311120002100012112
43321202003013
5113221211234
610254011235
71423001246
oct371420307
9146070175
1065413319
1133a18aa4
1219aa6b1b
1310723c0a
14898a95d
155b21ace
hex3e620c7

65413319 has 2 divisors, whose sum is σ = 65413320. Its totient is φ = 65413318.

The previous prime is 65413307. The next prime is 65413321. The reversal of 65413319 is 91331456.

65413319 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 65413319 - 24 = 65413303 is a prime.

It is a super-2 number, since 2×654133192 = 8557804605191522, which contains 22 as substring.

Together with 65413321, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p3863462 and since 65413319 and 3863462 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65413339) 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, 32706659 + 32706660.

It is an arithmetic number, because the mean of its divisors is an integer number (32706660).

Almost surely, 265413319 is an apocalyptic number.

65413319 is a deficient number, since it is larger than the sum of its proper divisors (1).

65413319 is an equidigital number, since it uses as much as digits as its factorization.

65413319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 32.

The square root of 65413319 is about 8087.8500851586. The cubic root of 65413319 is about 402.9230026924.

The spelling of 65413319 in words is "sixty-five million, four hundred thirteen thousand, three hundred nineteen".