25110030802081 has 9 divisors (see below), whose sum is σ = 25593014794291. Its totient is φ = 24635996064472.

The previous prime is 25110030802079. The next prime is 25110030802117. The reversal of 25110030802081 is 18020803001152.

The square root of 25110030802081 is 5010991.

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., 18101748798225 + 7008282003856 = 4254615^2 + 2647316^2 .

It is not a de Polignac number, because 25110030802081 - 2¹ = 25110030802079 is a prime.

It is a super-3 number, since 3×25110030802081³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25110030802001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265535250 + ... + 265629796.

Almost surely, 2^{25110030802081} is an apocalyptic number.

25110030802081 is the 5010991-st square number.

25110030802081 is the 2505496-th centered octagonal number.

It is an amenable number.

25110030802081 is a deficient number, since it is larger than the sum of its proper divisors (482983992210).

25110030802081 is an frugal number, since it uses more digits than its factorization.

25110030802081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189200 (or 94600 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 25110030802081 in words is "twenty-five trillion, one hundred ten billion, thirty million, eight hundred two thousand, eighty-one".