10005501006061 has 16 divisors (see below), whose sum is σ = 10963523570688. Its totient is φ = 9055552913200.

The previous prime is 10005501006013. The next prime is 10005501006113. The reversal of 10005501006061 is 16060010550001.

It is a cyclic number.

It is not a de Polignac number, because 10005501006061 - 2⁷ = 10005501005933 is a prime.

It is a super-2 number, since 2×10005501006061² (a number of 27 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 (10005501006161) 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, 146067726 + ... + 146136208.

It is an arithmetic number, because the mean of its divisors is an integer number (685220223168).

Almost surely, 2^{10005501006061} is an apocalyptic number.

10005501006061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005501006061 is a deficient number, since it is larger than the sum of its proper divisors (958022564627).

10005501006061 is a wasteful number, since it uses less digits than its factorization.

10005501006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127232.

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

Adding to 10005501006061 its reverse (16060010550001), we get a palindrome (26065511556062).

The spelling of 10005501006061 in words is "ten trillion, five billion, five hundred one million, six thousand, sixty-one".