5111131200 has 504 divisors, whose sum is σ = 20164495104. Its totient is φ = 1128960000.

The previous prime is 5111131189. The next prime is 5111131211. The reversal of 5111131200 is 21311115.

It is an interprime number because it is at equal distance from previous prime (5111131189) and next prime (5111131211).

It is a super-2 number, since 2×5111131200² = 52247324287226880000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5111131200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7290850 + ... + 7291550.

Almost surely, 2^5111131200 is an apocalyptic number.

5111131200 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 5111131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082247552).

5111131200 is an abundant number, since it is smaller than the sum of its proper divisors (15053363904).

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

5111131200 is a wasteful number, since it uses less digits than its factorization.

5111131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 5111131200 is about 71492.1757956771. The cubic root of 5111131200 is about 1722.5520075747.

Adding to 5111131200 its reverse (21311115), we get a palindrome (5132442315).

The spelling of 5111131200 in words is "five billion, one hundred eleven million, one hundred thirty-one thousand, two hundred".