10500516584133 has 8 divisors (see below), whose sum is σ = 14012346309696. Its totient is φ = 6994515624000.

The previous prime is 10500516584123. The next prime is 10500516584183. The reversal of 10500516584133 is 33148561500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10500516584133 - 2¹⁷ = 10500516453061 is a prime.

It is a super-2 number, since 2×10500516584133² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500516584123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1457187153 + ... + 1457194358.

It is an arithmetic number, because the mean of its divisors is an integer number (1751543288712).

Almost surely, 2^{10500516584133} is an apocalyptic number.

It is an amenable number.

10500516584133 is a deficient number, since it is larger than the sum of its proper divisors (3511829725563).

10500516584133 is a wasteful number, since it uses less digits than its factorization.

10500516584133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914382715.

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 10500516584133 in words is "ten trillion, five hundred billion, five hundred sixteen million, five hundred eighty-four thousand, one hundred thirty-three".