52010013 has 32 divisors (see below), whose sum is σ = 78008832. Its totient is φ = 30555200.

The previous prime is 52009999. The next prime is 52010029. The reversal of 52010013 is 31001025.

52010013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 52010013 - 2⁵ = 52009981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52010083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229006 + ... + 229232.

It is an arithmetic number, because the mean of its divisors is an integer number (2437776).

Almost surely, 2^52010013 is an apocalyptic number.

52010013 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

52010013 is a deficient number, since it is larger than the sum of its proper divisors (25998819).

52010013 is a wasteful number, since it uses less digits than its factorization.

52010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 52010013 is about 7211.7967941422. The cubic root of 52010013 is about 373.2750716020.

Adding to 52010013 its reverse (31001025), we get a palindrome (83011038).

The spelling of 52010013 in words is "fifty-two million, ten thousand, thirteen".