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53658013 is a prime number
BaseRepresentation
bin1100110010110…
…0000110011101
310201222002221211
43030230012131
5102214024023
65154024421
71221041233
oct314540635
9121862854
1053658013
112831a072
1215b78111
13b169406
1471aa953
154a9da0d
hex332c19d

53658013 has 2 divisors, whose sum is σ = 53658014. Its totient is φ = 53658012.

The previous prime is 53657999. The next prime is 53658019. The reversal of 53658013 is 31085635.

53658013 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., 53626329 + 31684 = 7323^2 + 178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53658013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53658019) 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, 26829006 + 26829007.

It is an arithmetic number, because the mean of its divisors is an integer number (26829007).

Almost surely, 253658013 is an apocalyptic number.

It is an amenable number.

53658013 is a deficient number, since it is larger than the sum of its proper divisors (1).

53658013 is an equidigital number, since it uses as much as digits as its factorization.

53658013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 53658013 is about 7325.1630015994. The cubic root of 53658013 is about 377.1767049170.

The spelling of 53658013 in words is "fifty-three million, six hundred fifty-eight thousand, thirteen".