10506141633 has 16 divisors (see below), whose sum is σ = 15118777856. Its totient is φ = 6451159680.

The previous prime is 10506141617. The next prime is 10506141643. The reversal of 10506141633 is 33614160501.

It is not a de Polignac number, because 10506141633 - 2⁴ = 10506141617 is a prime.

It is a super-2 number, since 2×10506141633² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506141633.

It is not an unprimeable number, because it can be changed into a prime (10506141643) 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, 276913 + ... + 312558.

It is an arithmetic number, because the mean of its divisors is an integer number (944923616).

Almost surely, 2^10506141633 is an apocalyptic number.

10506141633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10506141633 is a deficient number, since it is larger than the sum of its proper divisors (4612636223).

10506141633 is a wasteful number, since it uses less digits than its factorization.

10506141633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589944.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10506141633 in words is "ten billion, five hundred six million, one hundred forty-one thousand, six hundred thirty-three".