8956540321 has 27 divisors (see below), whose sum is σ = 10075888281. Its totient is φ = 7958761344.

The previous prime is 8956540319. The next prime is 8956540337. The reversal of 8956540321 is 1230456598.

The square root of 8956540321 is 94639.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5025250321 + 3931290000 = 70889^2 + 62700^2 .

It is not a de Polignac number, because 8956540321 - 2¹ = 8956540319 is a prime.

It is a super-2 number, since 2×8956540321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8956540301) 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, 30568251 + ... + 30568543.

Almost surely, 2^8956540321 is an apocalyptic number.

8956540321 is the 94639-th square number.

8956540321 is the 47320-th centered octagonal number.

It is an amenable number.

8956540321 is a deficient number, since it is larger than the sum of its proper divisors (1119347960).

8956540321 is an equidigital number, since it uses as much as digits as its factorization.

8956540321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The cubic root of 8956540321 is about 2076.7302794985.

The spelling of 8956540321 in words is "eight billion, nine hundred fifty-six million, five hundred forty thousand, three hundred twenty-one".