8506557361 has 9 divisors (see below), whose sum is σ = 8577889131. Its totient is φ = 8435816184.

The previous prime is 8506557347. The next prime is 8506557373. The reversal of 8506557361 is 1637556058.

The square root of 8506557361 is 92231.

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

It can be written as a sum of positive squares in only one way, i.e., 996601761 + 7509955600 = 31569^2 + 86660^2 .

It is not a de Polignac number, because 8506557361 - 2⁷ = 8506557233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8506557391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13742110 + ... + 13742728.

Almost surely, 2^8506557361 is an apocalyptic number.

8506557361 is the 92231-st square number.

8506557361 is the 46116-th centered octagonal number.

It is an amenable number.

8506557361 is a deficient number, since it is larger than the sum of its proper divisors (71331770).

8506557361 is an frugal number, since it uses more digits than its factorization.

8506557361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The cubic root of 8506557361 is about 2041.3522177489.

The spelling of 8506557361 in words is "eight billion, five hundred six million, five hundred fifty-seven thousand, three hundred sixty-one".