52515760 has 80 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 18840320.

The previous prime is 52515713. The next prime is 52515761. The reversal of 52515760 is 6751525.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (52515761) 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 15 ways as a sum of consecutive naturals, for example, 72681 + ... + 73399.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^52515760 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 52515760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

52515760 is an abundant number, since it is smaller than the sum of its proper divisors (82475600).

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

52515760 is a wasteful number, since it uses less digits than its factorization.

52515760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 52515760 is about 7246.7758348110. The cubic root of 52515760 is about 374.4810837485.

It can be divided in two parts, 5251 and 5760, that added together give a palindrome (11011).

The spelling of 52515760 in words is "fifty-two million, five hundred fifteen thousand, seven hundred sixty".