10825056007 has 8 divisors (see below), whose sum is σ = 11315576160. Its totient is φ = 10336191360.

The previous prime is 10825055999. The next prime is 10825056019. The reversal of 10825056007 is 70065052801.

10825056007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10825056007 - 2³ = 10825055999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825056097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400494 + ... + 426667.

It is an arithmetic number, because the mean of its divisors is an integer number (1414447020).

Almost surely, 2^10825056007 is an apocalyptic number.

10825056007 is a deficient number, since it is larger than the sum of its proper divisors (490520153).

10825056007 is an equidigital number, since it uses as much as digits as its factorization.

10825056007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827753.

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10825056007 in words is "ten billion, eight hundred twenty-five million, fifty-six thousand, seven".