825407004641 has 2 divisors, whose sum is σ = 825407004642. Its totient is φ = 825407004640.

The previous prime is 825407004563. The next prime is 825407004647. The reversal of 825407004641 is 146400704528.

825407004641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 470316153616 + 355090851025 = 685796^2 + 595895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825407004641 is a prime.

It is not a weakly prime, because it can be changed into another prime (825407004647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412703502320 + 412703502321.

It is an arithmetic number, because the mean of its divisors is an integer number (412703502321).

Almost surely, 2^825407004641 is an apocalyptic number.

It is an amenable number.

825407004641 is a deficient number, since it is larger than the sum of its proper divisors (1).

825407004641 is an equidigital number, since it uses as much as digits as its factorization.

825407004641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 825407004641 in words is "eight hundred twenty-five billion, four hundred seven million, four thousand, six hundred forty-one".