10010000511 has 12 divisors (see below), whose sum is σ = 16524445392. Its totient is φ = 5720000256.

The previous prime is 10010000501. The next prime is 10010000519. The reversal of 10010000511 is 11500001001.

It is not a de Polignac number, because 10010000511 - 2¹⁷ = 10009869439 is a prime.

It is a super-2 number, since 2×10010000511² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010000493 and 10010000502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79444386 + ... + 79444511.

It is an arithmetic number, because the mean of its divisors is an integer number (1377037116).

Almost surely, 2^10010000511 is an apocalyptic number.

10010000511 is a deficient number, since it is larger than the sum of its proper divisors (6514444881).

10010000511 is a wasteful number, since it uses less digits than its factorization.

10010000511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158888910 (or 158888907 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 10010000511 its reverse (11500001001), we get a palindrome (21510001512).

The spelling of 10010000511 in words is "ten billion, ten million, five hundred eleven", and thus it is an aban number.