10505560610061 has 48 divisors (see below), whose sum is σ = 17539071264000. Its totient is φ = 5988689602560.

The previous prime is 10505560610003. The next prime is 10505560610087. The reversal of 10505560610061 is 16001606550501.

It is not a de Polignac number, because 10505560610061 - 2⁷ = 10505560609933 is a prime.

It is a super-2 number, since 2×10505560610061² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505560609998 and 10505560610025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505560610261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692565 + ... + 4635813.

It is an arithmetic number, because the mean of its divisors is an integer number (365397318000).

Almost surely, 2^{10505560610061} is an apocalyptic number.

10505560610061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10505560610061 is a deficient number, since it is larger than the sum of its proper divisors (7033510653939).

10505560610061 is a wasteful number, since it uses less digits than its factorization.

10505560610061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944866 (or 3944863 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10505560610061 in words is "ten trillion, five hundred five billion, five hundred sixty million, six hundred ten thousand, sixty-one".