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3642002513 is a prime number
BaseRepresentation
bin1101100100010100…
…1000110001010001
3100101211001220012222
43121011020301101
524424323040023
61401220430425
7156152340062
oct33105106121
910354056188
103642002513
1115a98a7436
12857848415
134606c8296
142679a4569
15164b0bcc8
hexd9148c51

3642002513 has 2 divisors, whose sum is σ = 3642002514. Its totient is φ = 3642002512.

The previous prime is 3642002501. The next prime is 3642002521. The reversal of 3642002513 is 3152002463.

3642002513 is digitally balanced in base 3, 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., 2664314689 + 977687824 = 51617^2 + 31268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3642002513 is a prime.

It is not a weakly prime, because it can be changed into another prime (3642002813) 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, 1821001256 + 1821001257.

It is an arithmetic number, because the mean of its divisors is an integer number (1821001257).

Almost surely, 23642002513 is an apocalyptic number.

It is an amenable number.

3642002513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3642002513 is an equidigital number, since it uses as much as digits as its factorization.

3642002513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3642002513 is about 60349.0058990204. The cubic root of 3642002513 is about 1538.5563737092.

Adding to 3642002513 its reverse (3152002463), we get a palindrome (6794004976).

The spelling of 3642002513 in words is "three billion, six hundred forty-two million, two thousand, five hundred thirteen".