825375648 has 48 divisors (see below), whose sum is σ = 2212721280. Its totient is φ = 269270016.

The previous prime is 825375643. The next prime is 825375673. The reversal of 825375648 is 846573528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×825375648² = 1362489920622839808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 825375597 and 825375606.

It is not an unprimeable number, because it can be changed into a prime (825375643) 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, 86953 + ... + 95976.

It is an arithmetic number, because the mean of its divisors is an integer number (46098360).

Almost surely, 2^825375648 is an apocalyptic number.

It is an amenable number.

825375648 is an abundant number, since it is smaller than the sum of its proper divisors (1387345632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825375648 is a wasteful number, since it uses less digits than its factorization.

825375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182989 (or 182981 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 825375648 is about 28729.3516808159. The cubic root of 825375648 is about 938.0310559925.

The spelling of 825375648 in words is "eight hundred twenty-five million, three hundred seventy-five thousand, six hundred forty-eight".