10006562080725 has 24 divisors (see below), whose sum is σ = 18907637304000. Its totient is φ = 4574428379520.

The previous prime is 10006562080721. The next prime is 10006562080727. The reversal of 10006562080725 is 52708026560001.

It is not a de Polignac number, because 10006562080725 - 2² = 10006562080721 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006562080721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9530058600 + ... + 9530059649.

It is an arithmetic number, because the mean of its divisors is an integer number (787818221000).

Almost surely, 2^{10006562080725} is an apocalyptic number.

10006562080725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006562080725 is a deficient number, since it is larger than the sum of its proper divisors (8901075223275).

10006562080725 is a wasteful number, since it uses less digits than its factorization.

10006562080725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19060118269 (or 19060118264 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 10006562080725 in words is "ten trillion, six billion, five hundred sixty-two million, eighty thousand, seven hundred twenty-five".