5111001106000 has 80 divisors (see below), whose sum is σ = 12359120246928. Its totient is φ = 2044281408000.

The previous prime is 5111001105967. The next prime is 5111001106031. The reversal of 5111001106000 is 6011001115.

It can be written as a sum of positive squares in 8 ways, for example, as 1669026280464 + 3441974825536 = 1291908^2 + 1855256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5111001106000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39561510 + ... + 39690490.

Almost surely, 2^{5111001106000} is an apocalyptic number.

5111001106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5111001106000 is an abundant number, since it is smaller than the sum of its proper divisors (7248119140928).

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

5111001106000 is a wasteful number, since it uses less digits than its factorization.

5111001106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148817 (or 148801 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 5111001106000 its reverse (6011001115), we get a palindrome (5117012107115).

The spelling of 5111001106000 in words is "five trillion, one hundred eleven billion, one million, one hundred six thousand".