25153460564201 has 8 divisors (see below), whose sum is σ = 25220225975880. Its totient is φ = 25086774307968.

The previous prime is 25153460564153. The next prime is 25153460564231. The reversal of 25153460564201 is 10246506435152.

It can be written as a sum of positive squares in 4 ways, for example, as 4163538225625 + 20989922338576 = 2040475^2 + 4581476^2 .

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 25153460564201 - 2²² = 25153456369897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25153460564231) 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, 19152446 + ... + 20423591.

It is an arithmetic number, because the mean of its divisors is an integer number (3152528246985).

Almost surely, 2^{25153460564201} is an apocalyptic number.

It is an amenable number.

25153460564201 is a deficient number, since it is larger than the sum of its proper divisors (66765411679).

25153460564201 is a wasteful number, since it uses less digits than its factorization.

25153460564201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39577723.

The product of its (nonzero) digits is 864000, while the sum is 44.

Adding to 25153460564201 its reverse (10246506435152), we get a palindrome (35399966999353).

The spelling of 25153460564201 in words is "twenty-five trillion, one hundred fifty-three billion, four hundred sixty million, five hundred sixty-four thousand, two hundred one".