2067713122657 has 24 divisors (see below), whose sum is σ = 2632786277352. Its totient is φ = 1609173216000.

The previous prime is 2067713122639. The next prime is 2067713122663. The reversal of 2067713122657 is 7562213177602.

It can be written as a sum of positive squares in 4 ways, for example, as 406911306816 + 1660801815841 = 637896^2 + 1288721^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2067713122657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2067713122657.

It is not an unprimeable number, because it can be changed into a prime (2067713122957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26567844 + ... + 26645557.

It is an arithmetic number, because the mean of its divisors is an integer number (109699428223).

Almost surely, 2^{2067713122657} is an apocalyptic number.

It is an amenable number.

2067713122657 is a deficient number, since it is larger than the sum of its proper divisors (565073154695).

2067713122657 is a wasteful number, since it uses less digits than its factorization.

2067713122657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53213489 (or 53213482 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

Subtracting 2067713122657 from its reverse (7562213177602), we obtain a palindrome (5494500054945).

The spelling of 2067713122657 in words is "two trillion, sixty-seven billion, seven hundred thirteen million, one hundred twenty-two thousand, six hundred fifty-seven".