87536098225 has 27 divisors (see below), whose sum is σ = 110991520747. Its totient is φ = 68484463280.

The previous prime is 87536098207. The next prime is 87536098229. The reversal of 87536098225 is 52289063578.

The square root of 87536098225 is 295865.

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., 31512995361 + 56023102864 = 177519^2 + 236692^2 .

It is not a de Polignac number, because 87536098225 - 2⁹ = 87536097713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87536098229) 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 26 ways as a sum of consecutive naturals, for example, 69527646 + ... + 69528904.

Almost surely, 2^87536098225 is an apocalyptic number.

87536098225 is the 295865-th square number.

87536098225 is the 147933-rd centered octagonal number.

It is an amenable number.

87536098225 is a deficient number, since it is larger than the sum of its proper divisors (23455422522).

87536098225 is an frugal number, since it uses more digits than its factorization.

87536098225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 87536098225 in words is "eighty-seven billion, five hundred thirty-six million, ninety-eight thousand, two hundred twenty-five".