10006000505634 has 32 divisors (see below), whose sum is σ = 22895009243136. Its totient is φ = 2855838419280.

The previous prime is 10006000505623. The next prime is 10006000505689. The reversal of 10006000505634 is 43650500060001.

It is a super-2 number, since 2×10006000505634² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125745922 + ... + 125825469.

It is an arithmetic number, because the mean of its divisors is an integer number (715469038848).

Almost surely, 2^{10006000505634} is an apocalyptic number.

10006000505634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10006000505634 is an abundant number, since it is smaller than the sum of its proper divisors (12889008737502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006000505634 is a wasteful number, since it uses less digits than its factorization.

10006000505634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251572350.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10006000505634 its reverse (43650500060001), we get a palindrome (53656500565635).

The spelling of 10006000505634 in words is "ten trillion, six billion, five hundred five thousand, six hundred thirty-four".