61005006 has 24 divisors (see below), whose sum is σ = 132537600. Its totient is φ = 20279616.

The previous prime is 61005001. The next prime is 61005031. The reversal of 61005006 is 60050016.

61005006 is a `hidden beast` number, since 610 + 0 + 50 + 0 + 6 = 666.

It is a super-2 number, since 2×61005006² = 7443221514120072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470 + ... + 11318.

It is an arithmetic number, because the mean of its divisors is an integer number (5522400).

Almost surely, 2^61005006 is an apocalyptic number.

61005006 is an abundant number, since it is smaller than the sum of its proper divisors (71532594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61005006 is a wasteful number, since it uses less digits than its factorization.

61005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9237 counting only the distinct ones).

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

The square root of 61005006 is about 7810.5701456424. The cubic root of 61005006 is about 393.6604863790.

The spelling of 61005006 in words is "sixty-one million, five thousand, six".