51151800 has 192 divisors, whose sum is σ = 191059200. Its totient is φ = 11059200.

The previous prime is 51151799. The next prime is 51151801. The reversal of 51151800 is 815115.

It is an interprime number because it is at equal distance from previous prime (51151799) and next prime (51151801).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51151801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79480 + ... + 80120.

It is an arithmetic number, because the mean of its divisors is an integer number (995100).

Almost surely, 2^51151800 is an apocalyptic number.

51151800 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 51151800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

51151800 is an abundant number, since it is smaller than the sum of its proper divisors (139907400).

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

51151800 is a wasteful number, since it uses less digits than its factorization.

51151800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 51151800 is about 7152.0486575526. The cubic root of 51151800 is about 371.2105468850.

Adding to 51151800 its reverse (815115), we get a palindrome (51966915).

The spelling of 51151800 in words is "fifty-one million, one hundred fifty-one thousand, eight hundred".