52353133135325 has 96 divisors (see below), whose sum is σ = 71760630775680. Its totient is φ = 37571788800000.

The previous prime is 52353133135321. The next prime is 52353133135367.

52353133135325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52353133135325 - 2² = 52353133135321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52353133135321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11683357085 + ... + 11683361565.

It is an arithmetic number, because the mean of its divisors is an integer number (747506570580).

Almost surely, 2^{52353133135325} is an apocalyptic number.

52353133135325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52353133135325 is a deficient number, since it is larger than the sum of its proper divisors (19407497640355).

52353133135325 is a wasteful number, since it uses less digits than its factorization.

52353133135325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5914 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 44.

The spelling of 52353133135325 in words is "fifty-two trillion, three hundred fifty-three billion, one hundred thirty-three million, one hundred thirty-five thousand, three hundred twenty-five".