2617253169012 has 48 divisors (see below), whose sum is σ = 7080491671680. Its totient is φ = 834486516864.

The previous prime is 2617253169007. The next prime is 2617253169019. The reversal of 2617253169012 is 2109613527162.

2617253169012 is a `hidden beast` number, since 2 + 6 + 17 + 2 + 531 + 6 + 90 + 12 = 666.

It is a super-2 number, since 2×2617253169012² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617253169019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526819813 + ... + 526824780.

It is an arithmetic number, because the mean of its divisors is an integer number (147510243160).

Almost surely, 2^{2617253169012} is an apocalyptic number.

It is an amenable number.

2617253169012 is an abundant number, since it is smaller than the sum of its proper divisors (4463238502668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2617253169012 is a wasteful number, since it uses less digits than its factorization.

2617253169012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053644629 (or 1053644621 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2617253169012 in words is "two trillion, six hundred seventeen billion, two hundred fifty-three million, one hundred sixty-nine thousand, twelve".