517112000100 has 72 divisors (see below), whose sum is σ = 1662419327520. Its totient is φ = 137896532640.

The previous prime is 517112000011. The next prime is 517112000101. The reversal of 517112000100 is 1000211715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (517112000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95758782 + ... + 95764181.

Almost surely, 2^517112000100 is an apocalyptic number.

517112000100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

517112000100 is an abundant number, since it is smaller than the sum of its proper divisors (1145307327420).

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

517112000100 is a wasteful number, since it uses less digits than its factorization.

517112000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191522986 (or 191522973 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 517112000100 its reverse (1000211715), we get a palindrome (518112211815).

The spelling of 517112000100 in words is "five hundred seventeen billion, one hundred twelve million, one hundred", and thus it is an aban number.