51501200 has 60 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 20465280.

The previous prime is 51501179. The next prime is 51501221. The reversal of 51501200 is 210515.

It is an interprime number because it is at equal distance from previous prime (51501179) and next prime (51501221).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79277 + ... + 79923.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^51501200 is an apocalyptic number.

51501200 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 51501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

51501200 is an abundant number, since it is smaller than the sum of its proper divisors (73044400).

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

51501200 is a wasteful number, since it uses less digits than its factorization.

51501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 51501200 is about 7176.4336546783. The cubic root of 51501200 is about 372.0538327305.

Adding to 51501200 its reverse (210515), we get a palindrome (51711715).

The spelling of 51501200 in words is "fifty-one million, five hundred one thousand, two hundred".