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42561413 is a prime number
BaseRepresentation
bin1010001001011…
…0111110000101
32222002100021122
42202112332011
541343431123
64120123325
71024523516
oct242267605
988070248
1042561413
1122030024
1212306545
138a8268b
14591ca0d
153b0abc8
hex2896f85

42561413 has 2 divisors, whose sum is σ = 42561414. Its totient is φ = 42561412.

The previous prime is 42561401. The next prime is 42561503. The reversal of 42561413 is 31416524.

42561413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21967969 + 20593444 = 4687^2 + 4538^2 .

It is a cyclic number.

It is not a de Polignac number, because 42561413 - 24 = 42561397 is a prime.

It is a super-2 number, since 2×425614132 = 3622947753113138, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42561613) 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, 21280706 + 21280707.

It is an arithmetic number, because the mean of its divisors is an integer number (21280707).

Almost surely, 242561413 is an apocalyptic number.

It is an amenable number.

42561413 is a deficient number, since it is larger than the sum of its proper divisors (1).

42561413 is an equidigital number, since it uses as much as digits as its factorization.

42561413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 26.

The square root of 42561413 is about 6523.9108669570. The cubic root of 42561413 is about 349.1446132109.

Adding to 42561413 its reverse (31416524), we get a palindrome (73977937).

The spelling of 42561413 in words is "forty-two million, five hundred sixty-one thousand, four hundred thirteen".