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53353129 is a prime number
BaseRepresentation
bin1100101110000…
…1101010101001
310201101121201211
43023201222221
5102124300004
65143313121
71215331324
oct313415251
9121347654
1053353129
1128130aa5
1215a4b7a1
13b0906cb
14712b7bb
154a3d504
hex32e1aa9

53353129 has 2 divisors, whose sum is σ = 53353130. Its totient is φ = 53353128.

The previous prime is 53353117. The next prime is 53353133. The reversal of 53353129 is 92135335.

53353129 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., 52229529 + 1123600 = 7227^2 + 1060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53353129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53353129.

It is not a weakly prime, because it can be changed into another prime (53353109) 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, 26676564 + 26676565.

It is an arithmetic number, because the mean of its divisors is an integer number (26676565).

Almost surely, 253353129 is an apocalyptic number.

It is an amenable number.

53353129 is a deficient number, since it is larger than the sum of its proper divisors (1).

53353129 is an equidigital number, since it uses as much as digits as its factorization.

53353129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12150, while the sum is 31.

The square root of 53353129 is about 7304.3226243095. The cubic root of 53353129 is about 376.4609768806.

It can be divided in two parts, 5335 and 3129, that added together give a square (8464 = 922).

The spelling of 53353129 in words is "fifty-three million, three hundred fifty-three thousand, one hundred twenty-nine".