25498470259201 has 27 divisors (see below), whose sum is σ = 26487560390403. Its totient is φ = 24545908476960.

The previous prime is 25498470259193. The next prime is 25498470259247. The reversal of 25498470259201 is 10295207489452.

The square root of 25498470259201 is 5049601.

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., 1228659185601 + 24269811073600 = 1108449^2 + 4926440^2 .

It is not a de Polignac number, because 25498470259201 - 2³ = 25498470259193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25498470259271) 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, 16355656860 + ... + 16355658418.

Almost surely, 2^{25498470259201} is an apocalyptic number.

25498470259201 is the 5049601-st square number.

25498470259201 is the 2524801-st centered octagonal number.

It is an amenable number.

25498470259201 is a deficient number, since it is larger than the sum of its proper divisors (989090131202).

25498470259201 is an frugal number, since it uses more digits than its factorization.

25498470259201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 25498470259201 in words is "twenty-five trillion, four hundred ninety-eight billion, four hundred seventy million, two hundred fifty-nine thousand, two hundred one".