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53417129 is a prime number
BaseRepresentation
bin1100101111000…
…1010010101001
310201111212112012
43023301102221
5102133322004
65144525305
71216016033
oct313612251
9121455465
1053417129
1128175097
1215a80835
13b0b388c
147146c53
154a5246e
hex32f14a9

53417129 has 2 divisors, whose sum is σ = 53417130. Its totient is φ = 53417128.

The previous prime is 53417107. The next prime is 53417149. The reversal of 53417129 is 92171435.

53417129 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., 52954729 + 462400 = 7277^2 + 680^2 .

It is a cyclic number.

It is not a de Polignac number, because 53417129 - 212 = 53413033 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 53417095 and 53417104.

It is not a weakly prime, because it can be changed into another prime (53417149) 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, 26708564 + 26708565.

It is an arithmetic number, because the mean of its divisors is an integer number (26708565).

Almost surely, 253417129 is an apocalyptic number.

It is an amenable number.

53417129 is a deficient number, since it is larger than the sum of its proper divisors (1).

53417129 is an equidigital number, since it uses as much as digits as its factorization.

53417129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 53417129 is about 7308.7022787907. The cubic root of 53417129 is about 376.6114452508.

The spelling of 53417129 in words is "fifty-three million, four hundred seventeen thousand, one hundred twenty-nine".