87485009625 has 96 divisors (see below), whose sum is σ = 171343789344. Its totient is φ = 42687590400.

The previous prime is 87485009621. The next prime is 87485009639. The reversal of 87485009625 is 52690058478.

87485009625 is a `hidden beast` number, since 8 + 7 + 4 + 8 + 5 + 0 + 0 + 9 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 85210864281 + 2274145344 = 291909^2 + 47688^2 .

It is not a de Polignac number, because 87485009625 - 2² = 87485009621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87485009621) 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 95 ways as a sum of consecutive naturals, for example, 1626157 + ... + 1679093.

It is an arithmetic number, because the mean of its divisors is an integer number (1784831139).

Almost surely, 2^87485009625 is an apocalyptic number.

It is an amenable number.

87485009625 is a deficient number, since it is larger than the sum of its proper divisors (83858779719).

87485009625 is a wasteful number, since it uses less digits than its factorization.

87485009625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53084 (or 53071 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 87485009625 in words is "eighty-seven billion, four hundred eighty-five million, nine thousand, six hundred twenty-five".