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541657133 is a prime number
BaseRepresentation
bin100000010010010…
…000100000101101
31101202020000220022
4200102100200231
52102131012013
6125425331525
716265003213
oct4022204055
91352200808
10541657133
1125882a026
12131496ba5
13882abca4
1451d1acb3
1532846008
hex2049082d

541657133 has 2 divisors, whose sum is σ = 541657134. Its totient is φ = 541657132.

The previous prime is 541657117. The next prime is 541657177. The reversal of 541657133 is 331756145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 354870244 + 186786889 = 18838^2 + 13667^2 .

It is a cyclic number.

It is not a de Polignac number, because 541657133 - 24 = 541657117 is a prime.

It is equal to p28430729 and since 541657133 and 28430729 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 541657093 and 541657102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541657183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270828566 + 270828567.

It is an arithmetic number, because the mean of its divisors is an integer number (270828567).

Almost surely, 2541657133 is an apocalyptic number.

It is an amenable number.

541657133 is a deficient number, since it is larger than the sum of its proper divisors (1).

541657133 is an equidigital number, since it uses as much as digits as its factorization.

541657133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 35.

The square root of 541657133 is about 23273.5285893652. The cubic root of 541657133 is about 815.1574252712.

The spelling of 541657133 in words is "five hundred forty-one million, six hundred fifty-seven thousand, one hundred thirty-three".