52513000 has 64 divisors (see below), whose sum is σ = 130150800. Its totient is φ = 19763200.

The previous prime is 52512991. The next prime is 52513001. The reversal of 52513000 is 31525.

It can be written as a sum of positive squares in 8 ways, for example, as 15570916 + 36942084 = 3946^2 + 6078^2 .

It is not an unprimeable number, because it can be changed into a prime (52513001) 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, 15456 + ... + 18544.

Almost surely, 2^52513000 is an apocalyptic number.

52513000 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 52513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65075400).

52513000 is an abundant number, since it is smaller than the sum of its proper divisors (77637800).

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

52513000 is a wasteful number, since it uses less digits than its factorization.

52513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 52513000 is about 7246.5854027949. The cubic root of 52513000 is about 374.4745232677.

Adding to 52513000 its reverse (31525), we get a palindrome (52544525).

The spelling of 52513000 in words is "fifty-two million, five hundred thirteen thousand".