67585700601 has 6 divisors (see below), whose sum is σ = 97623789770. Its totient is φ = 45057133728.

The previous prime is 67585700593. The next prime is 67585700669. The reversal of 67585700601 is 10600758576.

67585700601 is a `hidden beast` number, since 6 + 7 + 585 + 7 + 0 + 0 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49795476201 + 17790224400 = 223149^2 + 133380^2 .

It is not a de Polignac number, because 67585700601 - 2³ = 67585700593 is a prime.

It is a super-2 number, since 2×67585700601² (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 (67585700671) 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, 3754761136 + ... + 3754761153.

Almost surely, 2^67585700601 is an apocalyptic number.

It is an amenable number.

67585700601 is a deficient number, since it is larger than the sum of its proper divisors (30038089169).

67585700601 is a wasteful number, since it uses less digits than its factorization.

67585700601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509522295 (or 7509522292 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 67585700601 in words is "sixty-seven billion, five hundred eighty-five million, seven hundred thousand, six hundred one".