825032616629 has 32 divisors (see below), whose sum is σ = 905109811200. Its totient is φ = 747434761920.

The previous prime is 825032616601. The next prime is 825032616641. The reversal of 825032616629 is 926616230528.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825032616629 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 (825032619629) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 202261412 + ... + 202265490.

It is an arithmetic number, because the mean of its divisors is an integer number (28284681600).

Almost surely, 2^825032616629 is an apocalyptic number.

It is an amenable number.

825032616629 is a deficient number, since it is larger than the sum of its proper divisors (80077194571).

825032616629 is a wasteful number, since it uses less digits than its factorization.

825032616629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105.

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 825032616629 in words is "eight hundred twenty-five billion, thirty-two million, six hundred sixteen thousand, six hundred twenty-nine".