2663752511125 has 16 divisors (see below), whose sum is σ = 3328898532336. Its totient is φ = 2128094702400.

The previous prime is 2663752511093. The next prime is 2663752511137. The reversal of 2663752511125 is 5211152573662.

It can be written as a sum of positive squares in 8 ways, for example, as 965437909489 + 1698314601636 = 982567^2 + 1303194^2 .

It is not a de Polignac number, because 2663752511125 - 2⁵ = 2663752511093 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 14444542 + ... + 14627791.

It is an arithmetic number, because the mean of its divisors is an integer number (208056158271).

Almost surely, 2^{2663752511125} is an apocalyptic number.

2663752511125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2663752511125 is a deficient number, since it is larger than the sum of its proper divisors (665146021211).

2663752511125 is an equidigital number, since it uses as much as digits as its factorization.

2663752511125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29073081 (or 29073071 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

It can be divided in two parts, 26637525 and 11125, that added together give a triangular number (26648650 = T₇₃₀₀).

The spelling of 2663752511125 in words is "two trillion, six hundred sixty-three billion, seven hundred fifty-two million, five hundred eleven thousand, one hundred twenty-five".