95008815225 has 27 divisors (see below), whose sum is σ = 170179626253. Its totient is φ = 50668902240.

The previous prime is 95008815193. The next prime is 95008815269. The reversal of 95008815225 is 52251880059.

It is a happy number.

The square root of 95008815225 is 308235.

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 22147690041 + 72861125184 = 148821^2 + 269928^2 .

It is not a de Polignac number, because 95008815225 - 2⁵ = 95008815193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4613251 + ... + 4633799.

Almost surely, 2^95008815225 is an apocalyptic number.

95008815225 is the 308235-th square number.

95008815225 is the 154118-th centered octagonal number.

It is an amenable number.

95008815225 is a deficient number, since it is larger than the sum of its proper divisors (75170811028).

95008815225 is an frugal number, since it uses more digits than its factorization.

95008815225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41114 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 95008815225 in words is "ninety-five billion, eight million, eight hundred fifteen thousand, two hundred twenty-five".