52135446958144 has 63 divisors (see below), whose sum is σ = 113717790197823. Its totient is φ = 23697641616000.

The previous prime is 52135446958117. The next prime is 52135446958183. The reversal of 52135446958144 is 44185964453125.

The square root of 52135446958144 is 7220488.

It is a perfect power (a square), and thus also a powerful number.

52135446958144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 635361919 + ... + 635443969.

Almost surely, 2^{52135446958144} is an apocalyptic number.

52135446958144 is the 7220488-th square number.

It is an amenable number.

52135446958144 is an abundant number, since it is smaller than the sum of its proper divisors (61582343239679).

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

52135446958144 is an frugal number, since it uses more digits than its factorization.

52135446958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164136 (or 82064 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 61.

The spelling of 52135446958144 in words is "fifty-two trillion, one hundred thirty-five billion, four hundred forty-six million, nine hundred fifty-eight thousand, one hundred forty-four".