10005061155153 has 48 divisors (see below), whose sum is σ = 14003949470784. Its totient is φ = 6349945512960.

The previous prime is 10005061155151. The next prime is 10005061155179. The reversal of 10005061155153 is 35155116050001.

10005061155153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005061155153 - 2¹ = 10005061155151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005061155151) 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, 91510626 + ... + 91619892.

It is an arithmetic number, because the mean of its divisors is an integer number (291748947308).

Almost surely, 2^{10005061155153} is an apocalyptic number.

It is an amenable number.

10005061155153 is a deficient number, since it is larger than the sum of its proper divisors (3998888315631).

10005061155153 is a wasteful number, since it uses less digits than its factorization.

10005061155153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109742 (or 109695 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The spelling of 10005061155153 in words is "ten trillion, five billion, sixty-one million, one hundred fifty-five thousand, one hundred fifty-three".