67016265625 has 63 divisors (see below), whose sum is σ = 89228760201. Its totient is φ = 50325300000.

The previous prime is 67016265581. The next prime is 67016265653. The reversal of 67016265625 is 52656261076.

The square root of 67016265625 is 258875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 63732517209 + 3283748416 = 252453^2 + 57304^2 .

It is not a de Polignac number, because 67016265625 - 2¹¹ = 67016263577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 614828071 + ... + 614828179.

It is an arithmetic number, because the mean of its divisors is an integer number (1416329527).

Almost surely, 2^67016265625 is an apocalyptic number.

67016265625 is the 258875-th square number.

67016265625 is the 129438-th centered octagonal number.

It is an amenable number.

67016265625 is a deficient number, since it is larger than the sum of its proper divisors (22212494576).

67016265625 is an frugal number, since it uses more digits than its factorization.

67016265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 67016265625 in words is "sixty-seven billion, sixteen million, two hundred sixty-five thousand, six hundred twenty-five".