51097824 has 48 divisors (see below), whose sum is σ = 149037840. Its totient is φ = 17032320.

The previous prime is 51097817. The next prime is 51097829. The reversal of 51097824 is 42879015.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×51097824² = 5221975235069952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51097829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28707 + ... + 30434.

It is an arithmetic number, because the mean of its divisors is an integer number (3104955).

Almost surely, 2^51097824 is an apocalyptic number.

51097824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51097824 is an abundant number, since it is smaller than the sum of its proper divisors (97940016).

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

51097824 is a wasteful number, since it uses less digits than its factorization.

51097824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59160 (or 59146 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51097824 is about 7148.2741973150. The cubic root of 51097824 is about 371.0799323078.

The spelling of 51097824 in words is "fifty-one million, ninety-seven thousand, eight hundred twenty-four".