52584527807361 has 81 divisors (see below), whose sum is σ = 85820071747683. Its totient is φ = 31002854271840.

The previous prime is 52584527807303. The next prime is 52584527807363. The reversal of 52584527807361 is 16370872548525.

The square root of 52584527807361 is 7251519.

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

52584527807361 is a `hidden beast` number, since 5 + 2 + 58 + 452 + 7 + 8 + 0 + 73 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47053357607025 + 5531170200336 = 6859545^2 + 2351844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-52584527807361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52584527807363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8854101730 + ... + 8854107668.

Almost surely, 2^{52584527807361} is an apocalyptic number.

52584527807361 is the 7251519-th square number.

52584527807361 is the 3625760-th centered octagonal number.

It is an amenable number.

52584527807361 is a deficient number, since it is larger than the sum of its proper divisors (33235543940322).

52584527807361 is an frugal number, since it uses more digits than its factorization.

52584527807361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 52584527807361 in words is "fifty-two trillion, five hundred eighty-four billion, five hundred twenty-seven million, eight hundred seven thousand, three hundred sixty-one".