51541984 has 48 divisors (see below), whose sum is σ = 115048080. Its totient is φ = 22533120.

The previous prime is 51541979. The next prime is 51541991. The reversal of 51541984 is 48914515.

51541984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51541984² = 5313152229312512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4644 + ... + 11164.

It is an arithmetic number, because the mean of its divisors is an integer number (2396835).

Almost surely, 2^51541984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51541984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57524040).

51541984 is an abundant number, since it is smaller than the sum of its proper divisors (63506096).

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

51541984 is a wasteful number, since it uses less digits than its factorization.

51541984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6555 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 51541984 is about 7179.2746151683. The cubic root of 51541984 is about 372.1520171085.

It can be divided in two parts, 51541 and 984, that added together give a palindrome (52525).

The spelling of 51541984 in words is "fifty-one million, five hundred forty-one thousand, nine hundred eighty-four".