1005500106061 has 8 divisors (see below), whose sum is σ = 1115500888800. Its totient is φ = 898597937040.

The previous prime is 1005500106059. The next prime is 1005500106077. The reversal of 1005500106061 is 1606010055001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005500106061 - 2¹ = 1005500106059 is a prime.

It is a super-2 number, since 2×1005500106061² (a number of 25 digits) 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 (1005500106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774652746 + ... + 774654043.

It is an arithmetic number, because the mean of its divisors is an integer number (139437611100).

Almost surely, 2^{1005500106061} is an apocalyptic number.

1005500106061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005500106061 is a deficient number, since it is larger than the sum of its proper divisors (110000782739).

1005500106061 is a wasteful number, since it uses less digits than its factorization.

1005500106061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549306859.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1005500106061 in words is "one trillion, five billion, five hundred million, one hundred six thousand, sixty-one".