825029506565 has 16 divisors (see below), whose sum is σ = 1143570312000. Its totient is φ = 564726078720.

The previous prime is 825029506547. The next prime is 825029506577. The reversal of 825029506565 is 565605920528.

It is not a de Polignac number, because 825029506565 - 2²² = 825025312261 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 441191315 + ... + 441193184.

It is an arithmetic number, because the mean of its divisors is an integer number (71473144500).

Almost surely, 2^825029506565 is an apocalyptic number.

825029506565 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

825029506565 is a deficient number, since it is larger than the sum of its proper divisors (318540805435).

825029506565 is a wasteful number, since it uses less digits than its factorization.

825029506565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882384532.

The product of its (nonzero) digits is 6480000, while the sum is 53.

The spelling of 825029506565 in words is "eight hundred twenty-five billion, twenty-nine million, five hundred six thousand, five hundred sixty-five".