61005005506005 has 32 divisors (see below), whose sum is σ = 107535736107648. Its totient is φ = 29285331168000.

The previous prime is 61005005505967. The next prime is 61005005506031. The reversal of 61005005506005 is 50060550050016.

It is not a de Polignac number, because 61005005506005 - 2⁸ = 61005005505749 is a prime.

It is a super-2 number, since 2×61005005506005² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1830316534 + ... + 1830349863.

It is an arithmetic number, because the mean of its divisors is an integer number (3360491753364).

Almost surely, 2^{61005005506005} is an apocalyptic number.

It is an amenable number.

61005005506005 is a deficient number, since it is larger than the sum of its proper divisors (46530730601643).

61005005506005 is a wasteful number, since it uses less digits than its factorization.

61005005506005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660666517.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 61005005506005 in words is "sixty-one trillion, five billion, five million, five hundred six thousand, five".