2553786225 has 45 divisors (see below), whose sum is σ = 4734711003. Its totient is φ = 1360806480.

The previous prime is 2553786187. The next prime is 2553786239. The reversal of 2553786225 is 5226873552.

The square root of 2553786225 is 50535.

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

2553786225 is a `hidden beast` number, since 2 + 55 + 378 + 6 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 919363041 + 1634423184 = 30321^2 + 40428^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2553786225 - 2⁷ = 2553786097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2273514 + ... + 2274636.

Almost surely, 2^2553786225 is an apocalyptic number.

2553786225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2553786225 is the 50535-th square number.

2553786225 is the 25268-th centered octagonal number.

It is an amenable number.

2553786225 is a deficient number, since it is larger than the sum of its proper divisors (2180924778).

2553786225 is an frugal number, since it uses more digits than its factorization.

2553786225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 1131 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The cubic root of 2553786225 is about 1366.8730475227.

The spelling of 2553786225 in words is "two billion, five hundred fifty-three million, seven hundred eighty-six thousand, two hundred twenty-five".