51521200 has 60 divisors (see below), whose sum is σ = 124745488. Its totient is φ = 20448000.

The previous prime is 51521189. The next prime is 51521201. The reversal of 51521200 is 212515.

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

It is not an unprimeable number, because it can be changed into a prime (51521201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59974 + ... + 60826.

Almost surely, 2^51521200 is an apocalyptic number.

51521200 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 51521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62372744).

51521200 is an abundant number, since it is smaller than the sum of its proper divisors (73224288).

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

51521200 is a wasteful number, since it uses less digits than its factorization.

51521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51521200 is about 7177.8269692157. The cubic root of 51521200 is about 372.1019876837.

Adding to 51521200 its reverse (212515), we get a palindrome (51733715).

The spelling of 51521200 in words is "fifty-one million, five hundred twenty-one thousand, two hundred".