825152580561 has 8 divisors (see below), whose sum is σ = 1100208366400. Its totient is φ = 550099257552.

The previous prime is 825152580557. The next prime is 825152580583. The reversal of 825152580561 is 165085251528.

825152580561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825152580561 - 2² = 825152580557 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825152580561.

It is not an unprimeable number, because it can be changed into a prime (825152580961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410316 + ... + 1348578.

It is an arithmetic number, because the mean of its divisors is an integer number (137526045800).

Almost surely, 2^825152580561 is an apocalyptic number.

It is an amenable number.

825152580561 is a deficient number, since it is larger than the sum of its proper divisors (275055785839).

825152580561 is a wasteful number, since it uses less digits than its factorization.

825152580561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231415.

The product of its (nonzero) digits is 960000, while the sum is 48.

The spelling of 825152580561 in words is "eight hundred twenty-five billion, one hundred fifty-two million, five hundred eighty thousand, five hundred sixty-one".