52504344340525 has 192 divisors, whose sum is σ = 83732800757760. Its totient is φ = 31714567372800.

The previous prime is 52504344340489. The next prime is 52504344340561.

It is a happy number.

52504344340525 is nontrivially palindromic in base 10.

52504344340525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52504344340489) and next prime (52504344340561).

It is not a de Polignac number, because 52504344340525 - 2⁹ = 52504344340013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2737015084 + ... + 2737034266.

It is an arithmetic number, because the mean of its divisors is an integer number (436108337280).

Almost surely, 2^{52504344340525} is an apocalyptic number.

52504344340525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52504344340525 is a deficient number, since it is larger than the sum of its proper divisors (31228456417235).

52504344340525 is a wasteful number, since it uses less digits than its factorization.

52504344340525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19596 (or 19591 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 46.

It can be divided in two parts, 5250434 and 4340525, that added together give a palindrome (9590959).

The spelling of 52504344340525 in words is "fifty-two trillion, five hundred four billion, three hundred forty-four million, three hundred forty thousand, five hundred twenty-five".