1267626653825 has 48 divisors (see below), whose sum is σ = 1858589376000. Its totient is φ = 839149597440.

The previous prime is 1267626653791. The next prime is 1267626653851. The reversal of 1267626653825 is 5283566267621.

It is a happy number.

It is not a de Polignac number, because 1267626653825 - 2²⁶ = 1267559544961 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 73015496 + ... + 73032854.

It is an arithmetic number, because the mean of its divisors is an integer number (38720612000).

Almost surely, 2^{1267626653825} is an apocalyptic number.

It is an amenable number.

1267626653825 is a deficient number, since it is larger than the sum of its proper divisors (590962722175).

1267626653825 is a wasteful number, since it uses less digits than its factorization.

1267626653825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31794 (or 31789 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 59.

The spelling of 1267626653825 in words is "one trillion, two hundred sixty-seven billion, six hundred twenty-six million, six hundred fifty-three thousand, eight hundred twenty-five".