68013009 has 9 divisors (see below), whose sum is σ = 98276763. Its totient is φ = 45325512.

The previous prime is 68012983. The next prime is 68013037. The reversal of 68013009 is 90031086.

The square root of 68013009 is 8247.

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., 8105409 + 59907600 = 2847^2 + 7740^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 68013009 - 2⁷ = 68012881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68013079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23367 + ... + 26115.

Almost surely, 2^68013009 is an apocalyptic number.

68013009 is the 8247-th square number.

68013009 is the 4124-th centered octagonal number.

It is an amenable number.

68013009 is a deficient number, since it is larger than the sum of its proper divisors (30263754).

68013009 is an frugal number, since it uses more digits than its factorization.

68013009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 68013009 is about 408.1915370866.

Multiplying 68013009 by its product of nonzero digits (1296), we get a square (88144859664 = 296892²).

It can be divided in two parts, 680 and 13009, that added together give a square (13689 = 117²).

The spelling of 68013009 in words is "sixty-eight million, thirteen thousand, nine".