825825153 has 8 divisors (see below), whose sum is σ = 1101422016. Its totient is φ = 550389200.

The previous prime is 825825149. The next prime is 825825193. The reversal of 825825153 is 351528528.

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 825825153 - 2² = 825825149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825825103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27693 + ... + 49178.

It is an arithmetic number, because the mean of its divisors is an integer number (137677752).

Almost surely, 2^825825153 is an apocalyptic number.

It is an amenable number.

825825153 is a deficient number, since it is larger than the sum of its proper divisors (275596863).

825825153 is a wasteful number, since it uses less digits than its factorization.

825825153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80455.

The product of its digits is 96000, while the sum is 39.

The square root of 825825153 is about 28737.1737128062. The cubic root of 825825153 is about 938.2013110473.

It can be divided in two parts, 8258 and 25153, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 825825153 in words is "eight hundred twenty-five million, eight hundred twenty-five thousand, one hundred fifty-three".