51525600 has 144 divisors (see below), whose sum is σ = 191737728. Its totient is φ = 11773440.

The previous prime is 51525599. The next prime is 51525631. The reversal of 51525600 is 652515.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15267 + ... + 18333.

It is an arithmetic number, because the mean of its divisors is an integer number (1331512).

Almost surely, 2^51525600 is an apocalyptic number.

51525600 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 51525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95868864).

51525600 is an abundant number, since it is smaller than the sum of its proper divisors (140212128).

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

51525600 is a wasteful number, since it uses less digits than its factorization.

51525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 51525600 is about 7178.1334621195. The cubic root of 51525600 is about 372.1125801010.

It can be divided in two parts, 51525 and 600, that added together give a palindrome (52125).

The spelling of 51525600 in words is "fifty-one million, five hundred twenty-five thousand, six hundred".