53518752 has 96 divisors (see below), whose sum is σ = 178416000. Its totient is φ = 15289344.

The previous prime is 53518747. The next prime is 53518757. The reversal of 53518752 is 25781535.

It is an interprime number because it is at equal distance from previous prime (53518747) and next prime (53518757).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (53518757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624 + ... + 10472.

It is an arithmetic number, because the mean of its divisors is an integer number (1858500).

Almost surely, 2^53518752 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 53518752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89208000).

53518752 is an abundant number, since it is smaller than the sum of its proper divisors (124897248).

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

53518752 is a wasteful number, since it uses less digits than its factorization.

53518752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8861 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 53518752 is about 7315.6511671894. The cubic root of 53518752 is about 376.8501211269.

The spelling of 53518752 in words is "fifty-three million, five hundred eighteen thousand, seven hundred fifty-two".