51515600 has 60 divisors (see below), whose sum is σ = 128062860. Its totient is φ = 19891200.

The previous prime is 51515587. The next prime is 51515609. The reversal of 51515600 is 651515.

It can be written as a sum of positive squares in 6 ways, for example, as 1784896 + 49730704 = 1336^2 + 7052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51515609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9380 + ... + 13820.

It is an arithmetic number, because the mean of its divisors is an integer number (2134381).

Almost surely, 2^51515600 is an apocalyptic number.

51515600 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 51515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64031430).

51515600 is an abundant number, since it is smaller than the sum of its proper divisors (76547260).

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

51515600 is a wasteful number, since it uses less digits than its factorization.

51515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 51515600 is about 7177.4368684092. The cubic root of 51515600 is about 372.0885055532.

The spelling of 51515600 in words is "fifty-one million, five hundred fifteen thousand, six hundred".