87081059025 has 81 divisors (see below), whose sum is σ = 158329773147. Its totient is φ = 45751528800.

The previous prime is 87081058993. The next prime is 87081059053. The reversal of 87081059025 is 52095018078.

It is a happy number.

The square root of 87081059025 is 295095.

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., 31349181249 + 55731877776 = 177057^2 + 236076^2 .

It is not a de Polignac number, because 87081059025 - 2⁵ = 87081058993 is a prime.

It is a super-2 number, since 2×87081059025² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon 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 80 ways as a sum of consecutive naturals, for example, 455921680 + ... + 455921870.

Almost surely, 2^87081059025 is an apocalyptic number.

87081059025 is the 295095-th square number.

87081059025 is the 147548-th centered octagonal number.

It is an amenable number.

87081059025 is a deficient number, since it is larger than the sum of its proper divisors (71248714122).

87081059025 is a wasteful number, since it uses less digits than its factorization.

87081059025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 87081059025 in words is "eighty-seven billion, eighty-one million, fifty-nine thousand, twenty-five".