2629743164725 has 6 divisors (see below), whose sum is σ = 3260881524290. Its totient is φ = 2103794531760.

The previous prime is 2629743164689. The next prime is 2629743164771. The reversal of 2629743164725 is 5274613479262.

2629743164725 = 1146678² + 1146679².

It can be written as a sum of positive squares in 3 ways, for example, as 607997586564 + 2021745578161 = 779742^2 + 1421881^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2629743164725 is a prime.

It is a super-2 number, since 2×2629743164725² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2629743164725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52594863270 + ... + 52594863319.

Almost surely, 2^{2629743164725} is an apocalyptic number.

2629743164725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2629743164725 is the 1146679-th centered square number.

It is an amenable number.

2629743164725 is a deficient number, since it is larger than the sum of its proper divisors (631138359565).

2629743164725 is a wasteful number, since it uses less digits than its factorization.

2629743164725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105189726599 (or 105189726594 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 58.

The spelling of 2629743164725 in words is "two trillion, six hundred twenty-nine billion, seven hundred forty-three million, one hundred sixty-four thousand, seven hundred twenty-five".