12565416001 has 8 divisors (see below), whose sum is σ = 12896617608. Its totient is φ = 12235392000.

The previous prime is 12565415911. The next prime is 12565416049. The reversal of 12565416001 is 10061456521.

It can be written as a sum of positive squares in 4 ways, for example, as 1169640000 + 11395776001 = 34200^2 + 106751^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12565416001 - 2¹¹ = 12565413953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12565416401) 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, 272760 + ... + 315481.

It is an arithmetic number, because the mean of its divisors is an integer number (1612077201).

Almost surely, 2^12565416001 is an apocalyptic number.

It is an amenable number.

12565416001 is a deficient number, since it is larger than the sum of its proper divisors (331201607).

12565416001 is an equidigital number, since it uses as much as digits as its factorization.

12565416001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588803.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 12565416001 in words is "twelve billion, five hundred sixty-five million, four hundred sixteen thousand, one".