87310616320225 has 27 divisors (see below), whose sum is σ = 109353619795609. Its totient is φ = 69153186212000.

The previous prime is 87310616320223. The next prime is 87310616320229. The reversal of 87310616320225 is 52202361601378.

The square root of 87310616320225 is 9344015.

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 16121437552801 + 71189178767424 = 4015151^2 + 8437368^2 .

It is not a de Polignac number, because 87310616320225 - 2¹ = 87310616320223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87310616320223) 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, 4718718324 + ... + 4718736826.

Almost surely, 2^{87310616320225} is an apocalyptic number.

87310616320225 is the 9344015-th square number.

87310616320225 is the 4672008-th centered octagonal number.

It is an amenable number.

87310616320225 is a deficient number, since it is larger than the sum of its proper divisors (22043003475384).

87310616320225 is an frugal number, since it uses more digits than its factorization.

87310616320225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37218 (or 18609 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 87310616320225 in words is "eighty-seven trillion, three hundred ten billion, six hundred sixteen million, three hundred twenty thousand, two hundred twenty-five".