2265425347689 has 75 divisors (see below), whose sum is σ = 3949101730343. Its totient is φ = 1294149476592.

The previous prime is 2265425347631. The next prime is 2265425347709. The reversal of 2265425347689 is 9867435245622.

The square root of 2265425347689 is 1505133.

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

2265425347689 is a `hidden beast` number, since 2 + 2 + 6 + 542 + 5 + 3 + 4 + 7 + 6 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2137195467225 + 128229880464 = 1461915^2 + 358092^2 .

It is not a de Polignac number, because 2265425347689 - 2⁷ = 2265425347561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2265425346689) 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 74 ways as a sum of consecutive naturals, for example, 663761947 + ... + 663765359.

Almost surely, 2^{2265425347689} is an apocalyptic number.

2265425347689 is the 1505133-rd square number.

2265425347689 is the 752567-th centered octagonal number.

It is an amenable number.

2265425347689 is a deficient number, since it is larger than the sum of its proper divisors (1683676382654).

2265425347689 is an frugal number, since it uses more digits than its factorization.

2265425347689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 3423 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 2265425347689 in words is "two trillion, two hundred sixty-five billion, four hundred twenty-five million, three hundred forty-seven thousand, six hundred eighty-nine".