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53838121 is a prime number
BaseRepresentation
bin1100110101100…
…0000100101001
310202022021000111
43031120010221
5102240304441
65201534321
71222421311
oct315300451
9122267014
1053838121
1128432417
12160443a1
13b20039c
147216441
154ad7081
hex3358129

53838121 has 2 divisors, whose sum is σ = 53838122. Its totient is φ = 53838120.

The previous prime is 53838097. The next prime is 53838131. The reversal of 53838121 is 12183835.

It is the 2996-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33767721 + 20070400 = 5811^2 + 4480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53838121 is a prime.

It is not a weakly prime, because it can be changed into another prime (53838131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26919060 + 26919061.

It is an arithmetic number, because the mean of its divisors is an integer number (26919061).

Almost surely, 253838121 is an apocalyptic number.

It is an amenable number.

53838121 is a deficient number, since it is larger than the sum of its proper divisors (1).

53838121 is an equidigital number, since it uses as much as digits as its factorization.

53838121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 31.

The square root of 53838121 is about 7337.4464904352. The cubic root of 53838121 is about 377.5982429274.

The spelling of 53838121 in words is "fifty-three million, eight hundred thirty-eight thousand, one hundred twenty-one".