2454752565225 has 135 divisors (see below), whose sum is σ = 4678236550911. Its totient is φ = 1272463862400.

The previous prime is 2454752565203. The next prime is 2454752565247. The reversal of 2454752565225 is 5225652574542.

The square root of 2454752565225 is 1566765.

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

2454752565225 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 7 + 52 + 565 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2454752565203) and next prime (2454752565247).

It can be written as a sum of positive squares in 13 ways, for example, as 290075956569 + 2164676608656 = 538587^2 + 1471284^2 .

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

It is not a de Polignac number, because 2454752565225 - 2⁵ = 2454752565193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2608663255 + ... + 2608664195.

Almost surely, 2^{2454752565225} is an apocalyptic number.

2454752565225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2454752565225 is the 1566765-th square number.

2454752565225 is the 783383-rd centered octagonal number.

It is an amenable number.

2454752565225 is a deficient number, since it is larger than the sum of its proper divisors (2223483985686).

2454752565225 is an frugal number, since it uses more digits than its factorization.

2454752565225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 986 counting only the distinct ones).

The product of its digits is 33600000, while the sum is 54.

The spelling of 2454752565225 in words is "two trillion, four hundred fifty-four billion, seven hundred fifty-two million, five hundred sixty-five thousand, two hundred twenty-five".