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61540133 is a prime number
BaseRepresentation
bin1110101011000…
…0011100100101
311021210120012012
43222300130211
5111223241013
610035004005
71345040204
oct352603445
9137716165
1061540133
1131813016
1218739605
13c998ca5
14825d23b
1556091a8
hex3ab0725

61540133 has 2 divisors, whose sum is σ = 61540134. Its totient is φ = 61540132.

The previous prime is 61540123. The next prime is 61540147. The reversal of 61540133 is 33104516.

It is a happy number.

61540133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56055169 + 5484964 = 7487^2 + 2342^2 .

It is a cyclic number.

It is not a de Polignac number, because 61540133 - 212 = 61536037 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p3648011 and since 61540133 and 3648011 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 = 61540099 and 61540108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61540123) 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, 30770066 + 30770067.

It is an arithmetic number, because the mean of its divisors is an integer number (30770067).

Almost surely, 261540133 is an apocalyptic number.

It is an amenable number.

61540133 is a deficient number, since it is larger than the sum of its proper divisors (1).

61540133 is an equidigital number, since it uses as much as digits as its factorization.

61540133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 61540133 is about 7844.7519399915. The cubic root of 61540133 is about 394.8081811796.

Adding to 61540133 its reverse (33104516), we get a palindrome (94644649).

The spelling of 61540133 in words is "sixty-one million, five hundred forty thousand, one hundred thirty-three".