87347360852361 has 27 divisors (see below), whose sum is σ = 131893470529639. Its totient is φ = 55699355117472.

The previous prime is 87347360852347. The next prime is 87347360852369. The reversal of 87347360852361 is 16325806374378.

The square root of 87347360852361 is 9345981.

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

87347360852361 is a `hidden beast` number, since 8 + 7 + 3 + 47 + 3 + 6 + 0 + 8 + 523 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87282885485961 + 64475366400 = 9342531^2 + 253920^2 .

It is a de Polignac number, because none of the positive numbers 2^k-87347360852361 is a prime.

It is a super-2 number, since 2×87347360852361² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87347360852369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 644804965 + ... + 644940413.

Almost surely, 2^{87347360852361} is an apocalyptic number.

87347360852361 is the 9345981-st square number.

87347360852361 is the 4672991-st centered octagonal number.

It is an amenable number.

87347360852361 is a deficient number, since it is larger than the sum of its proper divisors (44546109677278).

87347360852361 is an frugal number, since it uses more digits than its factorization.

87347360852361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270950 (or 135475 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 87347360852361 in words is "eighty-seven trillion, three hundred forty-seven billion, three hundred sixty million, eight hundred fifty-two thousand, three hundred sixty-one".