25282785183601 has 27 divisors (see below), whose sum is σ = 28487064883809. Its totient is φ = 22421744980800.

The previous prime is 25282785183559. The next prime is 25282785183611. The reversal of 25282785183601 is 10638158728252.

The square root of 25282785183601 is 5028199.

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 12133023596001 + 13149761587600 = 3483249^2 + 3626260^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25282785183601 is a prime.

It is a super-2 number, since 2×25282785183601² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25282785183611) 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, 2267712175 + ... + 2267723323.

Almost surely, 2^{25282785183601} is an apocalyptic number.

25282785183601 is the 5028199-th square number.

25282785183601 is the 2514100-th centered octagonal number.

It is an amenable number.

25282785183601 is a deficient number, since it is larger than the sum of its proper divisors (3204279700208).

25282785183601 is an frugal number, since it uses more digits than its factorization.

25282785183601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22402 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 25282785183601 in words is "twenty-five trillion, two hundred eighty-two billion, seven hundred eighty-five million, one hundred eighty-three thousand, six hundred one".