2666512360625 has 20 divisors (see below), whose sum is σ = 3332300025780. Its totient is φ = 2133065088000.

The previous prime is 2666512360619. The next prime is 2666512360627. The reversal of 2666512360625 is 5260632156662.

It can be written as a sum of positive squares in 10 ways, for example, as 2151572646976 + 514939713649 = 1466824^2 + 717593^2 .

It is not a de Polignac number, because 2666512360625 - 2¹⁴ = 2666512344241 is a prime.

It is a super-2 number, since 2×2666512360625² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2666512360627) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9593609 + ... + 9867641.

It is an arithmetic number, because the mean of its divisors is an integer number (166615001289).

Almost surely, 2^{2666512360625} is an apocalyptic number.

2666512360625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2666512360625 is a deficient number, since it is larger than the sum of its proper divisors (665787665155).

2666512360625 is an equidigital number, since it uses as much as digits as its factorization.

2666512360625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289622 (or 289607 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 2666512360625 in words is "two trillion, six hundred sixty-six billion, five hundred twelve million, three hundred sixty thousand, six hundred twenty-five".