10005000511 has 8 divisors (see below), whose sum is σ = 11022612048. Its totient is φ = 9005400000.

The previous prime is 10005000469. The next prime is 10005000539. The reversal of 10005000511 is 11500050001.

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

It is a cyclic number.

It is not a de Polignac number, because 10005000511 - 2¹⁷ = 10004869439 is a prime.

It is a super-2 number, since 2×10005000511² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10005000491 and 10005000500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005000581) 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, 4501590 + ... + 4503811.

It is an arithmetic number, because the mean of its divisors is an integer number (1377826506).

Almost surely, 2^10005000511 is an apocalyptic number.

10005000511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10005000511 is a deficient number, since it is larger than the sum of its proper divisors (1017611537).

10005000511 is a wasteful number, since it uses less digits than its factorization.

10005000511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005513.

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 10005000511 its reverse (11500050001), we get a palindrome (21505050512).

The spelling of 10005000511 in words is "ten billion, five million, five hundred eleven", and thus it is an aban number.