2551765225 has 9 divisors (see below), whose sum is σ = 3164502103. Its totient is φ = 2041210120.

The previous prime is 2551765213. The next prime is 2551765243. The reversal of 2551765225 is 5225671552.

The square root of 2551765225 is 50515.

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., 918635481 + 1633129744 = 30309^2 + 40412^2 .

It is not a de Polignac number, because 2551765225 - 2¹¹ = 2551763177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247524 + ... + 257626.

Almost surely, 2^2551765225 is an apocalyptic number.

2551765225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2551765225 is the 50515-th square number.

2551765225 is the 25258-th centered octagonal number.

It is an amenable number.

2551765225 is a deficient number, since it is larger than the sum of its proper divisors (612736878).

2551765225 is an frugal number, since it uses more digits than its factorization.

2551765225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20216 (or 10108 counting only the distinct ones).

The product of its digits is 210000, while the sum is 40.

The cubic root of 2551765225 is about 1366.5123831057.

The spelling of 2551765225 in words is "two billion, five hundred fifty-one million, seven hundred sixty-five thousand, two hundred twenty-five".