51111105000 has 160 divisors (see below), whose sum is σ = 160160732160. Its totient is φ = 13587840000.

The previous prime is 51111104981. The next prime is 51111105061. The reversal of 51111105000 is 50111115.

It is a super-2 number, since 2×51111105000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5049945 + ... + 5060055.

It is an arithmetic number, because the mean of its divisors is an integer number (1001004576).

Almost surely, 2^51111105000 is an apocalyptic number.

51111105000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51111105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80080366080).

51111105000 is an abundant number, since it is smaller than the sum of its proper divisors (109049627160).

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

51111105000 is a wasteful number, since it uses less digits than its factorization.

51111105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10477 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 51111105000 its reverse (50111115), we get a palindrome (51161216115).

It can be divided in two parts, 5111 and 1105000, that added together give a palindrome (1110111).

The spelling of 51111105000 in words is "fifty-one billion, one hundred eleven million, one hundred five thousand".