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53102813 is a prime number
BaseRepresentation
bin1100101010010…
…0100011011101
310200220220100212
43022210203131
5102043242223
65134102205
71213236461
oct312444335
9120826325
1053102813
1127a7aa25
121594a965
13b0037aa
1470a44a1
1549de278
hex32a48dd

53102813 has 2 divisors, whose sum is σ = 53102814. Its totient is φ = 53102812.

The previous prime is 53102789. The next prime is 53102821. The reversal of 53102813 is 31820135.

53102813 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., 50154724 + 2948089 = 7082^2 + 1717^2 .

It is a cyclic number.

It is not a de Polignac number, because 53102813 - 216 = 53037277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53102843) 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, 26551406 + 26551407.

It is an arithmetic number, because the mean of its divisors is an integer number (26551407).

Almost surely, 253102813 is an apocalyptic number.

It is an amenable number.

53102813 is a deficient number, since it is larger than the sum of its proper divisors (1).

53102813 is an equidigital number, since it uses as much as digits as its factorization.

53102813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 53102813 is about 7287.1676939673. The cubic root of 53102813 is about 375.8713084747.

Adding to 53102813 its reverse (31820135), we get a palindrome (84922948).

The spelling of 53102813 in words is "fifty-three million, one hundred two thousand, eight hundred thirteen".