52513434 has 40 divisors (see below), whose sum is σ = 120863028. Its totient is φ = 17029440.

The previous prime is 52513423. The next prime is 52513441. The reversal of 52513434 is 43431525.

52513434 is a `hidden beast` number, since 525 + 134 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52490025 + 23409 = 7245^2 + 153^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52513398 and 52513407.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1614 + ... + 10374.

Almost surely, 2^52513434 is an apocalyptic number.

52513434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52513434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60431514).

52513434 is an abundant number, since it is smaller than the sum of its proper divisors (68349594).

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

52513434 is a wasteful number, since it uses less digits than its factorization.

52513434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8812 (or 8803 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 52513434 is about 7246.6153478710. The cubic root of 52513434 is about 374.4755548948.

Adding to 52513434 its reverse (43431525), we get a palindrome (95944959).

The spelling of 52513434 in words is "fifty-two million, five hundred thirteen thousand, four hundred thirty-four".