25656611601 has 16 divisors (see below), whose sum is σ = 36055097600. Its totient is φ = 16183557648.

The previous prime is 25656611593. The next prime is 25656611627. The reversal of 25656611601 is 10611665652.

It is not a de Polignac number, because 25656611601 - 2³ = 25656611593 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 25656611601.

It is not an unprimeable number, because it can be changed into a prime (25656611671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241111 + ... + 330828.

It is an arithmetic number, because the mean of its divisors is an integer number (2253443600).

Almost surely, 2^25656611601 is an apocalyptic number.

It is an amenable number.

25656611601 is a deficient number, since it is larger than the sum of its proper divisors (10398485999).

25656611601 is a wasteful number, since it uses less digits than its factorization.

25656611601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572748.

The product of its (nonzero) digits is 64800, while the sum is 39.

It can be divided in two parts, 2565 and 6611601, that added together give a palindrome (6614166).

The spelling of 25656611601 in words is "twenty-five billion, six hundred fifty-six million, six hundred eleven thousand, six hundred one".