25258427041 has 9 divisors (see below), whose sum is σ = 25522576209. Its totient is φ = 24996988836.

The previous prime is 25258427023. The next prime is 25258427053. The reversal of 25258427041 is 14072485252.

It is a happy number.

The square root of 25258427041 is 158929.

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

It is not a de Polignac number, because 25258427041 - 2¹⁷ = 25258295969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25258426985 and 25258427003.

It is not an unprimeable number, because it can be changed into a prime (25258427071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16368916 + ... + 16370458.

It is an arithmetic number, because the mean of its divisors is an integer number (2835841801).

Almost surely, 2^25258427041 is an apocalyptic number.

25258427041 is the 158929-th square number.

25258427041 is the 79465-th centered octagonal number.

It is an amenable number.

25258427041 is a deficient number, since it is larger than the sum of its proper divisors (264149168).

25258427041 is an frugal number, since it uses more digits than its factorization.

25258427041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 25258427041 in words is "twenty-five billion, two hundred fifty-eight million, four hundred twenty-seven thousand, forty-one".