10249973627365 has 8 divisors (see below), whose sum is σ = 12599967581208. Its totient is φ = 7999979416320.

The previous prime is 10249973627323. The next prime is 10249973627459. The reversal of 10249973627365 is 56372637994201.

It is a Cunningham number, because it is equal to 3201558²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 493902539524 + 9756071087841 = 702782^2 + 3123471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10249973627365 - 2¹³ = 10249973619173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10249973627297 and 10249973627306.

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 7 ways as a sum of consecutive naturals, for example, 24999935472 + ... + 24999935881.

It is an arithmetic number, because the mean of its divisors is an integer number (1574995947651).

Almost surely, 2^{10249973627365} is an apocalyptic number.

It is an amenable number.

10249973627365 is a deficient number, since it is larger than the sum of its proper divisors (2349993953843).

10249973627365 is an equidigital number, since it uses as much as digits as its factorization.

10249973627365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49999871399.

The product of its (nonzero) digits is 102876480, while the sum is 64.

The spelling of 10249973627365 in words is "ten trillion, two hundred forty-nine billion, nine hundred seventy-three million, six hundred twenty-seven thousand, three hundred sixty-five".