51265600 has 63 divisors (see below), whose sum is σ = 126854077. Its totient is φ = 20391680.

The previous prime is 51265561. The next prime is 51265601. The reversal of 51265600 is 656215.

The square root of 51265600 is 7160.

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., 18455616 + 32809984 = 4296^2 + 5728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51265601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 286311 + ... + 286489.

Almost surely, 2^51265600 is an apocalyptic number.

51265600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51265600 is the 7160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51265600

51265600 is an abundant number, since it is smaller than the sum of its proper divisors (75588477).

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

51265600 is an equidigital number, since it uses as much as digits as its factorization.

51265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 51265600 is about 371.4856266255.

Multiplying 51265600 by its sum of digits (25), we get a square (1281640000 = 35800²).

51265600 divided by its sum of digits (25) gives a square (2050624 = 1432²).

The spelling of 51265600 in words is "fifty-one million, two hundred sixty-five thousand, six hundred".