2001252112767 has 20 divisors (see below), whose sum is σ = 3006041494456. Its totient is φ = 1326796971120.

The previous prime is 2001252112759. The next prime is 2001252112771. The reversal of 2001252112767 is 7672112521002.

2001252112767 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 2 + 521 + 127 + 6 + 7 = 666.

It is not a de Polignac number, because 2001252112767 - 2³ = 2001252112759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001252112757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68236213 + ... + 68265534.

Almost surely, 2^{2001252112767} is an apocalyptic number.

2001252112767 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2001252112767 is a deficient number, since it is larger than the sum of its proper divisors (1004789381689).

2001252112767 is a wasteful number, since it uses less digits than its factorization.

2001252112767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136501940 (or 136501931 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 2001252112767 its reverse (7672112521002), we get a palindrome (9673364633769).

The spelling of 2001252112767 in words is "two trillion, one billion, two hundred fifty-two million, one hundred twelve thousand, seven hundred sixty-seven".