25793558481601 has 8 divisors (see below), whose sum is σ = 25967653425000. Its totient is φ = 25619476656000.

The previous prime is 25793558481571. The next prime is 25793558481623. The reversal of 25793558481601 is 10618485539752.

It can be written as a sum of positive squares in 4 ways, for example, as 48234701376 + 25745323780225 = 219624^2 + 5073985^2 .

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 25793558481601 - 2¹¹ = 25793558479553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25793558481701) 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, 682525 + ... + 7214773.

It is an arithmetic number, because the mean of its divisors is an integer number (3245956678125).

It is a 1-persistent number, because it is pandigital, but 2⋅25793558481601 = 51587116963202 is not.

Almost surely, 2^{25793558481601} is an apocalyptic number.

It is an amenable number.

25793558481601 is a deficient number, since it is larger than the sum of its proper divisors (174094943399).

25793558481601 is a wasteful number, since it uses less digits than its factorization.

25793558481601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558899.

The product of its (nonzero) digits is 72576000, while the sum is 64.

The spelling of 25793558481601 in words is "twenty-five trillion, seven hundred ninety-three billion, five hundred fifty-eight million, four hundred eighty-one thousand, six hundred one".