2012916825529 has 27 divisors (see below), whose sum is σ = 2074439904303. Its totient is φ = 1953207763824.

The previous prime is 2012916825511. The next prime is 2012916825533. The reversal of 2012916825529 is 9255286192102.

The square root of 2012916825529 is 1418773.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1831055517225 + 181861308304 = 1353165^2 + 426452^2 .

It is not a de Polignac number, because 2012916825529 - 2¹¹ = 2012916823481 is a prime.

It is a super-2 number, since 2×2012916825529² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012916825559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11635357287 + ... + 11635357459.

Almost surely, 2^{2012916825529} is an apocalyptic number.

2012916825529 is the 1418773-rd square number.

2012916825529 is the 709387-th centered octagonal number.

It is an amenable number.

2012916825529 is a deficient number, since it is larger than the sum of its proper divisors (61523078774).

2012916825529 is an frugal number, since it uses more digits than its factorization.

2012916825529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 2012916825529 in words is "two trillion, twelve billion, nine hundred sixteen million, eight hundred twenty-five thousand, five hundred twenty-nine".