52145766754125 has 64 divisors (see below), whose sum is σ = 95139291177216. Its totient is φ = 25154456544000.

The previous prime is 52145766754063. The next prime is 52145766754177.

52145766754125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52145766754125 - 2¹⁷ = 52145766623053 is a prime.

It is a super-3 number, since 3×52145766754125³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31272142 + ... + 32897391.

It is an arithmetic number, because the mean of its divisors is an integer number (1486551424644).

Almost surely, 2^{52145766754125} is an apocalyptic number.

52145766754125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52145766754125 is a deficient number, since it is larger than the sum of its proper divisors (42993524423091).

52145766754125 is a wasteful number, since it uses less digits than its factorization.

52145766754125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64169759 (or 64169749 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 60.

The spelling of 52145766754125 in words is "fifty-two trillion, one hundred forty-five billion, seven hundred sixty-six million, seven hundred fifty-four thousand, one hundred twenty-five".