25966503261 has 16 divisors (see below), whose sum is σ = 38472134400. Its totient is φ = 17309543904.

The previous prime is 25966503229. The next prime is 25966503287. The reversal of 25966503261 is 16230566952.

25966503261 is a `hidden beast` number, since 2 + 596 + 6 + 50 + 3 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 25966503261 - 2⁵ = 25966503229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25966503161) 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 15 ways as a sum of consecutive naturals, for example, 356785 + ... + 423353.

It is an arithmetic number, because the mean of its divisors is an integer number (2404508400).

Almost surely, 2^25966503261 is an apocalyptic number.

It is an amenable number.

25966503261 is a deficient number, since it is larger than the sum of its proper divisors (12505631139).

25966503261 is a wasteful number, since it uses less digits than its factorization.

25966503261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81025 (or 81019 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 25966503261 in words is "twenty-five billion, nine hundred sixty-six million, five hundred three thousand, two hundred sixty-one".