52135366353125 has 96 divisors (see below), whose sum is σ = 71510865261696. Its totient is φ = 37692345600000.

The previous prime is 52135366353043. The next prime is 52135366353131.

52135366353125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52135366353125 - 2²⁴ = 52135349575909 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 4212271937 + ... + 4212284313.

It is an arithmetic number, because the mean of its divisors is an integer number (744904846476).

Almost surely, 2^{52135366353125} is an apocalyptic number.

52135366353125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52135366353125 is a deficient number, since it is larger than the sum of its proper divisors (19375498908571).

52135366353125 is a wasteful number, since it uses less digits than its factorization.

52135366353125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13109 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 50.

The spelling of 52135366353125 in words is "fifty-two trillion, one hundred thirty-five billion, three hundred sixty-six million, three hundred fifty-three thousand, one hundred twenty-five".