25468666129201 has 27 divisors (see below), whose sum is σ = 26441140992267. Its totient is φ = 24531558923040.

The previous prime is 25468666129187. The next prime is 25468666129213. The reversal of 25468666129201 is 10292166686452.

The square root of 25468666129201 is 5046649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1227223055601 + 24241443073600 = 1107801^2 + 4923560^2 .

It is not a de Polignac number, because 25468666129201 - 2²³ = 25468657740593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25468666129801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17173745806 + ... + 17173747288.

Almost surely, 2^{25468666129201} is an apocalyptic number.

25468666129201 is the 5046649-th square number.

25468666129201 is the 2523325-th centered octagonal number.

It is an amenable number.

25468666129201 is a deficient number, since it is larger than the sum of its proper divisors (972474863066).

25468666129201 is an frugal number, since it uses more digits than its factorization.

25468666129201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 25468666129201 in words is "twenty-five trillion, four hundred sixty-eight billion, six hundred sixty-six million, one hundred twenty-nine thousand, two hundred one".