825710661001 has 16 divisors (see below), whose sum is σ = 875599502400. Its totient is φ = 775968906240.

The previous prime is 825710660981. The next prime is 825710661019. The reversal of 825710661001 is 100166017528.

It is a cyclic number.

It is not a de Polignac number, because 825710661001 - 2¹¹ = 825710658953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825710661071) 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 15 ways as a sum of consecutive naturals, for example, 47723050 + ... + 47740348.

It is an arithmetic number, because the mean of its divisors is an integer number (54724968900).

Almost surely, 2^825710661001 is an apocalyptic number.

It is an amenable number.

825710661001 is a deficient number, since it is larger than the sum of its proper divisors (49888841399).

825710661001 is a wasteful number, since it uses less digits than its factorization.

825710661001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21384.

The product of its (nonzero) digits is 20160, while the sum is 37.

Adding to 825710661001 its reverse (100166017528), we get a palindrome (925876678529).

The spelling of 825710661001 in words is "eight hundred twenty-five billion, seven hundred ten million, six hundred sixty-one thousand, one".