434889524540025 has 81 divisors (see below), whose sum is σ = 781108084005613. Its totient is φ = 231295940256000.

The previous prime is 434889524540011. The next prime is 434889524540069. The reversal of 434889524540025 is 520045425988434.

It is a happy number.

The square root of 434889524540025 is 20854005.

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

434889524540025 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 89 + 5 + 2 + 4 + 540 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116334279790569 + 318555244749456 = 10785837^2 + 17848116^2 .

It is not a de Polignac number, because 434889524540025 - 2²¹ = 434889522442873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125436838342 + ... + 125436841808.

Almost surely, 2^{434889524540025} is an apocalyptic number.

434889524540025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

434889524540025 is the 20854005-th square number.

434889524540025 is the 10427003-rd centered octagonal number.

It is an amenable number.

434889524540025 is a deficient number, since it is larger than the sum of its proper divisors (346218559465588).

434889524540025 is an frugal number, since it uses more digits than its factorization.

434889524540025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 434889524540025 in words is "four hundred thirty-four trillion, eight hundred eighty-nine billion, five hundred twenty-four million, five hundred forty thousand, twenty-five".