825407004601 has 16 divisors (see below), whose sum is σ = 847601220816. Its totient is φ = 803312640000.

The previous prime is 825407004563. The next prime is 825407004641. The reversal of 825407004601 is 106400704528.

It can be written as a sum of positive squares in 8 ways, for example, as 120645075600 + 704761929001 = 347340^2 + 839501^2 .

It is a cyclic number.

It is not a de Polignac number, because 825407004601 - 2¹⁵ = 825406971833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825407004641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46152181 + ... + 46170061.

It is an arithmetic number, because the mean of its divisors is an integer number (52975076301).

Almost surely, 2^825407004601 is an apocalyptic number.

It is an amenable number.

825407004601 is a deficient number, since it is larger than the sum of its proper divisors (22194216215).

825407004601 is a wasteful number, since it uses less digits than its factorization.

825407004601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20604.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 825407004601 in words is "eight hundred twenty-five billion, four hundred seven million, four thousand, six hundred one".