52059313 has 2 divisors, whose sum is σ = 52059314. Its totient is φ = 52059312.

The previous prime is 52059311. The next prime is 52059331. The reversal of 52059313 is 31395025.

52059313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (52059331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51151104 + 908209 = 7152^2 + 953^2 .

It is a cyclic number.

It is not a de Polignac number, because 52059313 - 2¹ = 52059311 is a prime.

Together with 52059311, it forms a pair of twin primes.

It is equal to p_3117178 and since 52059313 and 3117178 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (52059311) 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 as a sum of consecutive naturals, namely, 26029656 + 26029657.

It is an arithmetic number, because the mean of its divisors is an integer number (26029657).

Almost surely, 2^52059313 is an apocalyptic number.

It is an amenable number.

52059313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52059313 is an equidigital number, since it uses as much as digits as its factorization.

52059313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 52059313 is about 7215.2139954405. The cubic root of 52059313 is about 373.3929761393.

The spelling of 52059313 in words is "fifty-two million, fifty-nine thousand, three hundred thirteen".