61005005 has 16 divisors (see below), whose sum is σ = 74572464. Its totient is φ = 47900160.

The previous prime is 61005001. The next prime is 61005031. The reversal of 61005005 is 50050016.

It can be written as a sum of positive squares in 8 ways, for example, as 5621641 + 55383364 = 2371^2 + 7442^2 .

It is not a de Polignac number, because 61005005 - 2² = 61005001 is a prime.

It is a super-2 number, since 2×61005005² = 7443221270100050, which contains 22 as substring.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 144695 + ... + 145115.

It is an arithmetic number, because the mean of its divisors is an integer number (4660779).

Almost surely, 2^61005005 is an apocalyptic number.

It is an amenable number.

61005005 is a deficient number, since it is larger than the sum of its proper divisors (13567459).

61005005 is a wasteful number, since it uses less digits than its factorization.

61005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 61005005 is about 7810.5700816266. The cubic root of 61005005 is about 393.6604842280.

The spelling of 61005005 in words is "sixty-one million, five thousand, five".