51382500 has 240 divisors, whose sum is σ = 176343552. Its totient is φ = 11520000.

The previous prime is 51382481. The next prime is 51382511. The reversal of 51382500 is 528315.

It is a super-2 number, since 2×51382500² = 5280322612500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1657485 + ... + 1657515.

Almost surely, 2^51382500 is an apocalyptic number.

51382500 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 51382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88171776).

51382500 is an abundant number, since it is smaller than the sum of its proper divisors (124961052).

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

51382500 is a wasteful number, since it uses less digits than its factorization.

51382500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 51382500 is about 7168.1587594026. The cubic root of 51382500 is about 371.7677762097.

The spelling of 51382500 in words is "fifty-one million, three hundred eighty-two thousand, five hundred".