51516500 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 17184000.

The previous prime is 51516497. The next prime is 51516503. The reversal of 51516500 is 561515.

It is an interprime number because it is at equal distance from previous prime (51516497) and next prime (51516503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51516503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143321 + ... + 143679.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^51516500 is an apocalyptic number.

51516500 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 51516500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

51516500 is an abundant number, since it is smaller than the sum of its proper divisors (80571820).

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

51516500 is a wasteful number, since it uses less digits than its factorization.

51516500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

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

The square root of 51516500 is about 7177.4995646116. The cubic root of 51516500 is about 372.0906723901.

The spelling of 51516500 in words is "fifty-one million, five hundred sixteen thousand, five hundred".