51024000 has 128 divisors (see below), whose sum is σ = 169303680. Its totient is φ = 13593600.

The previous prime is 51023939. The next prime is 51024013. The reversal of 51024000 is 42015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47469 + ... + 48531.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^51024000 is an apocalyptic number.

51024000 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 51024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

51024000 is an abundant number, since it is smaller than the sum of its proper divisors (118279680).

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

51024000 is a wasteful number, since it uses less digits than its factorization.

51024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 51024000 is about 7143.1085670036. The cubic root of 51024000 is about 370.9011392514.

Adding to 51024000 its reverse (42015), we get a palindrome (51066015).

The spelling of 51024000 in words is "fifty-one million, twenty-four thousand".