87181420225 has 9 divisors (see below), whose sum is σ = 108106791753. Its totient is φ = 69743955120.

The previous prime is 87181420171. The next prime is 87181420267. The reversal of 87181420225 is 52202418178.

The square root of 87181420225 is 295265.

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 30014523009 + 57166897216 = 173247^2 + 239096^2 .

It is not a de Polignac number, because 87181420225 - 2⁹ = 87181419713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1446799 + ... + 1505851.

Almost surely, 2^87181420225 is an apocalyptic number.

87181420225 is the 295265-th square number.

87181420225 is the 147633-rd centered octagonal number.

It is an amenable number.

87181420225 is a deficient number, since it is larger than the sum of its proper divisors (20925371528).

87181420225 is an frugal number, since it uses more digits than its factorization.

87181420225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118116 (or 59058 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 87181420225 in words is "eighty-seven billion, one hundred eighty-one million, four hundred twenty thousand, two hundred twenty-five".