25414417561 has 9 divisors (see below), whose sum is σ = 27521998239. Its totient is φ = 23457549336.

The previous prime is 25414417541. The next prime is 25414417573. The reversal of 25414417561 is 16571441452.

It is a happy number.

The square root of 25414417561 is 159419.

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

It can be written as a sum of positive squares in only one way, i.e., 3759529225 + 21654888336 = 61315^2 + 147156^2 .

It is not a de Polignac number, because 25414417561 - 2¹⁷ = 25414286489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25414417531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2066316 + ... + 2078578.

Almost surely, 2^25414417561 is an apocalyptic number.

25414417561 is the 159419-th square number.

25414417561 is the 79710-th centered octagonal number.

It is an amenable number.

25414417561 is a deficient number, since it is larger than the sum of its proper divisors (2107580678).

25414417561 is an frugal number, since it uses more digits than its factorization.

25414417561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24552 (or 12276 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The spelling of 25414417561 in words is "twenty-five billion, four hundred fourteen million, four hundred seventeen thousand, five hundred sixty-one".