52516000 has 96 divisors (see below), whose sum is σ = 136019520. Its totient is φ = 19872000.

The previous prime is 52515997. The next prime is 52516003. The reversal of 52516000 is 61525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52515997) and next prime (52516003).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (52516003) 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, 75655 + ... + 76345.

It is an arithmetic number, because the mean of its divisors is an integer number (1416870).

Almost surely, 2^52516000 is an apocalyptic number.

52516000 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 52516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68009760).

52516000 is an abundant number, since it is smaller than the sum of its proper divisors (83503520).

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

52516000 is a wasteful number, since it uses less digits than its factorization.

52516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 52516000 is about 7246.7923938802. The cubic root of 52516000 is about 374.4816542142.

Adding to 52516000 its reverse (61525), we get a palindrome (52577525).

The spelling of 52516000 in words is "fifty-two million, five hundred sixteen thousand".