6251225060025 has 135 divisors (see below), whose sum is σ = 12730323281599. Its totient is φ = 3030296940000.

The previous prime is 6251225059993. The next prime is 6251225060027. The reversal of 6251225060025 is 5200605221526.

The square root of 6251225060025 is 2500245.

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

6251225060025 is a `hidden beast` number, since 6 + 2 + 5 + 1 + 2 + 25 + 0 + 600 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2250441021609 + 4000784038416 = 1500147^2 + 2000196^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6251225060025 - 2⁵ = 6251225059993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6251225060027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1237618750 + ... + 1237623800.

Almost surely, 2^{6251225060025} is an apocalyptic number.

6251225060025 is the 2500245-th square number.

6251225060025 is the 1250123-rd centered octagonal number.

It is an amenable number.

6251225060025 is an abundant number, since it is smaller than the sum of its proper divisors (6479098221574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6251225060025 is an frugal number, since it uses more digits than its factorization.

6251225060025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 6251225060025 by its sum of digits (36), we get a square (225044102160900 = 15001470²).

The spelling of 6251225060025 in words is "six trillion, two hundred fifty-one billion, two hundred twenty-five million, sixty thousand, twenty-five".