10506005560061 has 4 divisors (see below), whose sum is σ = 11461096974624. Its totient is φ = 9550914145500.

The previous prime is 10506005560013. The next prime is 10506005560069. The reversal of 10506005560061 is 16006550060501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10506005560061 is a prime.

It is a super-2 number, since 2×10506005560061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506005560069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 477545707265 + ... + 477545707286.

It is an arithmetic number, because the mean of its divisors is an integer number (2865274243656).

Almost surely, 2^{10506005560061} is an apocalyptic number.

10506005560061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10506005560061 is a deficient number, since it is larger than the sum of its proper divisors (955091414563).

10506005560061 is an equidigital number, since it uses as much as digits as its factorization.

10506005560061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955091414562.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 10506005560061 in words is "ten trillion, five hundred six billion, five million, five hundred sixty thousand, sixty-one".