87010825025 has 24 divisors (see below), whose sum is σ = 114334952184. Its totient is φ = 65459635200.

The previous prime is 87010825009. The next prime is 87010825049. The reversal of 87010825025 is 52052801078.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 66869822464 + 20141002561 = 258592^2 + 141919^2 .

It is not a de Polignac number, because 87010825025 - 2⁴ = 87010825009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 87010825025.

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 23 ways as a sum of consecutive naturals, for example, 431135 + ... + 599915.

It is an arithmetic number, because the mean of its divisors is an integer number (4763956341).

Almost surely, 2^87010825025 is an apocalyptic number.

87010825025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87010825025 is a deficient number, since it is larger than the sum of its proper divisors (27324127159).

87010825025 is a wasteful number, since it uses less digits than its factorization.

87010825025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170021 (or 170016 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The spelling of 87010825025 in words is "eighty-seven billion, ten million, eight hundred twenty-five thousand, twenty-five".