51988300 has 144 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 15805440.

The previous prime is 51988291. The next prime is 51988309. The reversal of 51988300 is 388915.

It is an interprime number because it is at equal distance from previous prime (51988291) and next prime (51988309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51988309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263802 + ... + 263998.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 2^51988300 is an apocalyptic number.

51988300 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 51988300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

51988300 is an abundant number, since it is smaller than the sum of its proper divisors (92377460).

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

51988300 is a wasteful number, since it uses less digits than its factorization.

51988300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 51988300 is about 7210.2912562531. The cubic root of 51988300 is about 373.2231197482.

The spelling of 51988300 in words is "fifty-one million, nine hundred eighty-eight thousand, three hundred".