2673121006625 has 8 divisors (see below), whose sum is σ = 3336055016424. Its totient is φ = 2138496805200.

The previous prime is 2673121006541. The next prime is 2673121006657. The reversal of 2673121006625 is 5266001213762.

It can be written as a sum of positive squares in 4 ways, for example, as 93576645409 + 2579544361216 = 305903^2 + 1606096^2 .

It is not a de Polignac number, because 2673121006625 - 2¹⁶ = 2673120941089 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 10692483902 + ... + 10692484151.

It is an arithmetic number, because the mean of its divisors is an integer number (417006877053).

Almost surely, 2^{2673121006625} is an apocalyptic number.

2673121006625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2673121006625 is a deficient number, since it is larger than the sum of its proper divisors (662934009799).

2673121006625 is an equidigital number, since it uses as much as digits as its factorization.

2673121006625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21384968068 (or 21384968058 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 2673121006625 in words is "two trillion, six hundred seventy-three billion, one hundred twenty-one million, six thousand, six hundred twenty-five".