825401745 has 96 divisors (see below), whose sum is σ = 1713374208. Its totient is φ = 373387968.

The previous prime is 825401699. The next prime is 825401771. The reversal of 825401745 is 547104528.

It is not a de Polignac number, because 825401745 - 2⁷ = 825401617 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 909582 + ... + 910488.

It is an arithmetic number, because the mean of its divisors is an integer number (17847648).

Almost surely, 2^825401745 is an apocalyptic number.

It is an amenable number.

825401745 is an abundant number, since it is smaller than the sum of its proper divisors (887972463).

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

825401745 is a wasteful number, since it uses less digits than its factorization.

825401745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 825401745 is about 28729.8058642936. The cubic root of 825401745 is about 938.0409422136.

The spelling of 825401745 in words is "eight hundred twenty-five million, four hundred one thousand, seven hundred forty-five".