10050005605601 has 16 divisors (see below), whose sum is σ = 10841196584400. Its totient is φ = 9261415231488.

The previous prime is 10050005605589. The next prime is 10050005605609. The reversal of 10050005605601 is 10650650005001.

It can be written as a sum of positive squares in 8 ways, for example, as 895387170001 + 9154618435600 = 946249^2 + 3025660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10050005605601 - 2⁶ = 10050005605537 is a prime.

It is a super-2 number, since 2×10050005605601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10050005605609) 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, 18449105 + ... + 18986033.

It is an arithmetic number, because the mean of its divisors is an integer number (677574786525).

Almost surely, 2^{10050005605601} is an apocalyptic number.

It is an amenable number.

10050005605601 is a deficient number, since it is larger than the sum of its proper divisors (791190978799).

10050005605601 is a wasteful number, since it uses less digits than its factorization.

10050005605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539348.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10050005605601 in words is "ten trillion, fifty billion, five million, six hundred five thousand, six hundred one".