67587000625 has 15 divisors (see below), whose sum is σ = 84464838381. Its totient is φ = 54064401000.

The previous prime is 67587000617. The next prime is 67587000647. The reversal of 67587000625 is 52600078576.

The square root of 67587000625 is 259975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5298820849 + 62288179776 = 72793^2 + 249576^2 .

It is not a de Polignac number, because 67587000625 - 2³ = 67587000617 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 (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6494176 + ... + 6504574.

Almost surely, 2^67587000625 is an apocalyptic number.

67587000625 is the 259975-th square number.

67587000625 is the 129988-th centered octagonal number.

It is an amenable number.

67587000625 is a deficient number, since it is larger than the sum of its proper divisors (16877837756).

67587000625 is an frugal number, since it uses more digits than its factorization.

67587000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 67587000625 in words is "sixty-seven billion, five hundred eighty-seven million, six hundred twenty-five", and thus it is an aban number.