25036416441 has 15 divisors (see below), whose sum is σ = 37402206303. Its totient is φ = 16689994920.

The previous prime is 25036416397. The next prime is 25036416479. The reversal of 25036416441 is 14461463052.

The square root of 25036416441 is 158229.

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

25036416441 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 6 + 4 + 1 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6371392041 + 18665024400 = 79821^2 + 136620^2 .

It is not a de Polignac number, because 25036416441 - 2¹¹ = 25036414393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25036416396 and 25036416405.

It is not an unprimeable number, because it can be changed into a prime (25036416541) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1415271 + ... + 1432851.

Almost surely, 2^25036416441 is an apocalyptic number.

25036416441 is the 158229-th square number.

25036416441 is the 79115-th centered octagonal number.

It is an amenable number.

25036416441 is a deficient number, since it is larger than the sum of its proper divisors (12365789862).

25036416441 is an frugal number, since it uses more digits than its factorization.

25036416441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35174 (or 17584 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 25036416441 by its sum of digits (36), we get a square (901310991876 = 949374²).

Adding to 25036416441 its reverse (14461463052), we get a palindrome (39497879493).

The spelling of 25036416441 in words is "twenty-five billion, thirty-six million, four hundred sixteen thousand, four hundred forty-one".