826013952001 has 8 divisors (see below), whose sum is σ = 985060116864. Its totient is φ = 677228830080.

The previous prime is 826013951969. The next prime is 826013952011. The reversal of 826013952001 is 100259310628.

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 826013952001 - 2⁵ = 826013951969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826013952011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565260560 + ... + 2565260881.

It is an arithmetic number, because the mean of its divisors is an integer number (123132514608).

Almost surely, 2^826013952001 is an apocalyptic number.

It is an amenable number.

826013952001 is a deficient number, since it is larger than the sum of its proper divisors (159046164863).

826013952001 is a wasteful number, since it uses less digits than its factorization.

826013952001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130521471.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 826013952001 in words is "eight hundred twenty-six billion, thirteen million, nine hundred fifty-two thousand, one".