25864037329 has 27 divisors (see below), whose sum is σ = 28530078993. Its totient is φ = 23436414144.

The previous prime is 25864037317. The next prime is 25864037333. The reversal of 25864037329 is 92373046852.

The square root of 25864037329 is 160823.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11307132225 + 14556905104 = 106335^2 + 120652^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25864037329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25864037359) 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, 186072142 + ... + 186072280.

Almost surely, 2^25864037329 is an apocalyptic number.

25864037329 is the 160823-rd square number.

25864037329 is the 80412-nd centered octagonal number.

It is an amenable number.

25864037329 is a deficient number, since it is larger than the sum of its proper divisors (2666041664).

25864037329 is an frugal number, since it uses more digits than its factorization.

25864037329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 25864037329 by its sum of digits (49), we get a square (1267337829121 = 1125761²).

The spelling of 25864037329 in words is "twenty-five billion, eight hundred sixty-four million, thirty-seven thousand, three hundred twenty-nine".