51552400 has 45 divisors (see below), whose sum is σ = 124200601. Its totient is φ = 20563520.

The previous prime is 51552383. The next prime is 51552419. The reversal of 51552400 is 425515.

The square root of 51552400 is 7180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18558864 + 32993536 = 4308^2 + 5744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143421 + ... + 143779.

Almost surely, 2^51552400 is an apocalyptic number.

51552400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51552400 is the 7180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51552400

51552400 is an abundant number, since it is smaller than the sum of its proper divisors (72648201).

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

51552400 is an equidigital number, since it uses as much as digits as its factorization.

51552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The cubic root of 51552400 is about 372.1770845326.

Adding to 51552400 its reverse (425515), we get a palindrome (51977915).

The spelling of 51552400 in words is "fifty-one million, five hundred fifty-two thousand, four hundred".