825152919 has 32 divisors (see below), whose sum is σ = 1249447680. Its totient is φ = 481208832.

The previous prime is 825152869. The next prime is 825152959. The reversal of 825152919 is 919251528.

It is not a de Polignac number, because 825152919 - 2⁸ = 825152663 is a prime.

It is a super-2 number, since 2×825152919² = 1361754679468441122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825152959) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43324 + ... + 59390.

It is an arithmetic number, because the mean of its divisors is an integer number (39045240).

Almost surely, 2^825152919 is an apocalyptic number.

825152919 is a deficient number, since it is larger than the sum of its proper divisors (424294761).

825152919 is a wasteful number, since it uses less digits than its factorization.

825152919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16159.

The product of its digits is 64800, while the sum is 42.

The square root of 825152919 is about 28725.4750874550. The cubic root of 825152919 is about 937.9466719848.

The spelling of 825152919 in words is "eight hundred twenty-five million, one hundred fifty-two thousand, nine hundred nineteen".