61006005 has 24 divisors (see below), whose sum is σ = 110343168. Its totient is φ = 31121376.

The previous prime is 61005929. The next prime is 61006009. The reversal of 61006005 is 50060016.

61006005 is a `hidden beast` number, since 61 + 0 + 0 + 600 + 5 = 666.

61006005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61006005 - 2¹² = 61001909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61006009) 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 in 23 ways as a sum of consecutive naturals, for example, 28437 + ... + 30506.

It is an arithmetic number, because the mean of its divisors is an integer number (4597632).

Almost surely, 2^61006005 is an apocalyptic number.

It is an amenable number.

61006005 is a deficient number, since it is larger than the sum of its proper divisors (49337163).

61006005 is a wasteful number, since it uses less digits than its factorization.

61006005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58977 (or 58974 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61006005 is about 7810.6340971780. The cubic root of 61006005 is about 393.6626351900.

The spelling of 61006005 in words is "sixty-one million, six thousand, five".