61132129 has 2 divisors, whose sum is σ = 61132130. Its totient is φ = 61132128.

The previous prime is 61132021. The next prime is 61132163. The reversal of 61132129 is 92123116.

61132129 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., 60528400 + 603729 = 7780^2 + 777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61132129 is a prime.

It is not a weakly prime, because it can be changed into another prime (61132429) 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, 30566064 + 30566065.

It is an arithmetic number, because the mean of its divisors is an integer number (30566065).

Almost surely, 2^61132129 is an apocalyptic number.

It is an amenable number.

61132129 is a deficient number, since it is larger than the sum of its proper divisors (1).

61132129 is an equidigital number, since it uses as much as digits as its factorization.

61132129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 25.

The square root of 61132129 is about 7818.7037928291. The cubic root of 61132129 is about 393.9337348941.

The spelling of 61132129 in words is "sixty-one million, one hundred thirty-two thousand, one hundred twenty-nine".