10000510011 has 12 divisors (see below), whose sum is σ = 14449414200. Its totient is φ = 6665052960.

The previous prime is 10000509991. The next prime is 10000510019. The reversal of 10000510011 is 11001500001.

It is not a de Polignac number, because 10000510011 - 2¹⁸ = 10000247867 is a prime.

It is a super-3 number, since 3×10000510011³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 10000509975 and 10000510002.

It is not an unprimeable number, because it can be changed into a prime (10000510019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130045 + ... + 192126.

It is an arithmetic number, because the mean of its divisors is an integer number (1204117850).

Almost surely, 2^10000510011 is an apocalyptic number.

10000510011 is a deficient number, since it is larger than the sum of its proper divisors (4448904189).

10000510011 is a wasteful number, since it uses less digits than its factorization.

10000510011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325626 (or 325623 counting only the distinct ones).

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

The spelling of 10000510011 in words is "ten billion, five hundred ten thousand, eleven".