52152525305361 has 12 divisors (see below), whose sum is σ = 81126150475188. Its totient is φ = 32093861726304.

The previous prime is 52152525305329. The next prime is 52152525305371. The reversal of 52152525305361 is 16350352525125.

It is a happy number.

52152525305361 is a `hidden beast` number, since 5 + 2 + 1 + 5 + 2 + 5 + 2 + 530 + 53 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3294606161025 + 48857919144336 = 1815105^2 + 6989844^2 .

It is not a de Polignac number, because 52152525305361 - 2⁵ = 52152525305329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52152525305371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222874039650 + ... + 222874039883.

It is an arithmetic number, because the mean of its divisors is an integer number (6760512539599).

Almost surely, 2^{52152525305361} is an apocalyptic number.

It is an amenable number.

52152525305361 is a deficient number, since it is larger than the sum of its proper divisors (28973625169827).

52152525305361 is a wasteful number, since it uses less digits than its factorization.

52152525305361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445748079552 (or 445748079549 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 52152525305361 in words is "fifty-two trillion, one hundred fifty-two billion, five hundred twenty-five million, three hundred five thousand, three hundred sixty-one".