67008061001 has 6 divisors (see below), whose sum is σ = 77948152650. Its totient is φ = 57435480816.

The previous prime is 67008060967. The next prime is 67008061009. The reversal of 67008061001 is 10016080076.

It can be written as a sum of positive squares in only one way, i.e., 66357760000 + 650301001 = 257600^2 + 25501^2 .

It is not a de Polignac number, because 67008061001 - 2¹⁰ = 67008059977 is a prime.

It is a super-2 number, since 2×67008061001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67008061009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 683755676 + ... + 683755773.

It is an arithmetic number, because the mean of its divisors is an integer number (12991358775).

Almost surely, 2^67008061001 is an apocalyptic number.

It is an amenable number.

67008061001 is a deficient number, since it is larger than the sum of its proper divisors (10940091649).

67008061001 is a wasteful number, since it uses less digits than its factorization.

67008061001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367511463 (or 1367511456 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 67008061001 in words is "sixty-seven billion, eight million, sixty-one thousand, one".