51619600 has 30 divisors (see below), whose sum is σ = 124017050. Its totient is φ = 20647680.

The previous prime is 51619597. The next prime is 51619639. The reversal of 51619600 is 691615.

It can be written as a sum of positive squares in 3 ways, for example, as 13278736 + 38340864 = 3644^2 + 6192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64125 + ... + 64924.

Almost surely, 2^51619600 is an apocalyptic number.

51619600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51619600 is an abundant number, since it is smaller than the sum of its proper divisors (72397450).

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

51619600 is a wasteful number, since it uses less digits than its factorization.

51619600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129067 (or 129056 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 51619600 is about 7184.6781417124. The cubic root of 51619600 is about 372.3387287414.

The spelling of 51619600 in words is "fifty-one million, six hundred nineteen thousand, six hundred".