51880500 has 288 divisors, whose sum is σ = 197154048. Its totient is φ = 11664000.

The previous prime is 51880487. The next prime is 51880501. The reversal of 51880500 is 508815.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51880501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850470 + ... + 850530.

Almost surely, 2^51880500 is an apocalyptic number.

51880500 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 51880500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

51880500 is an abundant number, since it is smaller than the sum of its proper divisors (145273548).

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

51880500 is a wasteful number, since it uses less digits than its factorization.

51880500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 51880500 is about 7202.8119508981. The cubic root of 51880500 is about 372.9649764545.

It can be divided in two parts, 518 and 80500, that added together give a palindrome (81018).

The spelling of 51880500 in words is "fifty-one million, eight hundred eighty thousand, five hundred".