51613600 has 72 divisors (see below), whose sum is σ = 127140300. Its totient is φ = 20459520.

The previous prime is 51613589. The next prime is 51613621. The reversal of 51613600 is 631615.

It can be written as a sum of positive squares in 6 ways, for example, as 2108304 + 49505296 = 1452^2 + 7036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118984 + ... + 119416.

Almost surely, 2^51613600 is an apocalyptic number.

51613600 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 51613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63570150).

51613600 is an abundant number, since it is smaller than the sum of its proper divisors (75526700).

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

51613600 is a wasteful number, since it uses less digits than its factorization.

51613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 51613600 is about 7184.2605743389. The cubic root of 51613600 is about 372.3243019285.

The spelling of 51613600 in words is "fifty-one million, six hundred thirteen thousand, six hundred".