10506000010061 has 16 divisors (see below), whose sum is σ = 11004834475008. Its totient is φ = 10017449366400.

The previous prime is 10506000010039. The next prime is 10506000010073. The reversal of 10506000010061 is 16001000060501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10506000010061 - 2⁶ = 10506000009997 is a prime.

It is a super-3 number, since 3×10506000010061³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506000010091) 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, 212150 + ... + 4588791.

It is an arithmetic number, because the mean of its divisors is an integer number (687802154688).

Almost surely, 2^{10506000010061} is an apocalyptic number.

It is an amenable number.

10506000010061 is a deficient number, since it is larger than the sum of its proper divisors (498834464947).

10506000010061 is an equidigital number, since it uses as much as digits as its factorization.

10506000010061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802012.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10506000010061 its reverse (16001000060501), we get a palindrome (26507000070562).

The spelling of 10506000010061 in words is "ten trillion, five hundred six billion, ten thousand, sixty-one".