7825424032801 has 48 divisors (see below), whose sum is σ = 8812769310720. Its totient is φ = 6927844896000.

The previous prime is 7825424032771. The next prime is 7825424032831. The reversal of 7825424032801 is 1082304245287.

It is an interprime number because it is at equal distance from previous prime (7825424032771) and next prime (7825424032831).

It is not a de Polignac number, because 7825424032801 - 2²⁵ = 7825390478369 is a prime.

It is a super-2 number, since 2×7825424032801² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7825424032831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499349196 + ... + 499364866.

It is an arithmetic number, because the mean of its divisors is an integer number (183599360640).

Almost surely, 2^{7825424032801} is an apocalyptic number.

It is an amenable number.

7825424032801 is a deficient number, since it is larger than the sum of its proper divisors (987345277919).

7825424032801 is a wasteful number, since it uses less digits than its factorization.

7825424032801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366 (or 16349 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 7825424032801 in words is "seven trillion, eight hundred twenty-five billion, four hundred twenty-four million, thirty-two thousand, eight hundred one".