25430063809329 has 27 divisors (see below), whose sum is σ = 36864534274113. Its totient is φ = 16892569513152.

The previous prime is 25430063809309. The next prime is 25430063809333. The reversal of 25430063809329 is 92390836003452.

It is a happy number.

The square root of 25430063809329 is 5042823.

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

25430063809329 is a `hidden beast` number, since 2 + 5 + 4 + 300 + 6 + 3 + 8 + 0 + 9 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 501013399329 + 24929050410000 = 707823^2 + 4992900^2 .

It is not a de Polignac number, because 25430063809329 - 2¹⁹ = 25430063285041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25430063809309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4432638549 + ... + 4432644285.

Almost surely, 2^{25430063809329} is an apocalyptic number.

25430063809329 is the 5042823-rd square number.

25430063809329 is the 2521412-nd centered octagonal number.

It is an amenable number.

25430063809329 is a deficient number, since it is larger than the sum of its proper divisors (11434470464784).

25430063809329 is an frugal number, since it uses more digits than its factorization.

25430063809329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 25430063809329 in words is "twenty-five trillion, four hundred thirty billion, sixty-three million, eight hundred nine thousand, three hundred twenty-nine".