5005111010500 has 24 divisors (see below), whose sum is σ = 10931162448024. Its totient is φ = 2002044404000.

The previous prime is 5005111010479. The next prime is 5005111010521. The reversal of 5005111010500 is 50101115005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5005111010479) and next prime (5005111010521).

It can be written as a sum of positive squares in 4 ways, for example, as 20501085124 + 4984609925376 = 143182^2 + 2232624^2 .

It is a super-2 number, since 2×5005111010500² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5005110511 + ... + 5005111510.

It is an arithmetic number, because the mean of its divisors is an integer number (455465102001).

Almost surely, 2^{5005111010500} is an apocalyptic number.

5005111010500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5005111010500 is an abundant number, since it is smaller than the sum of its proper divisors (5926051437524).

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

5005111010500 is a wasteful number, since it uses less digits than its factorization.

5005111010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010222040 (or 10010222028 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 5005111010500 its reverse (50101115005), we get a palindrome (5055212125505).

The spelling of 5005111010500 in words is "five trillion, five billion, one hundred eleven million, ten thousand, five hundred".