25664237145261 has 192 divisors, whose sum is σ = 45495444234240. Its totient is φ = 13732070123520.

The previous prime is 25664237145203. The next prime is 25664237145269. The reversal of 25664237145261 is 16254173246652.

It is a happy number.

25664237145261 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 4 + 2 + 371 + 4 + 5 + 261 = 666.

It is not a de Polignac number, because 25664237145261 - 2¹³ = 25664237137069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25664237145198 and 25664237145207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25664237145269) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 659170351 + ... + 659209283.

It is an arithmetic number, because the mean of its divisors is an integer number (236955438720).

Almost surely, 2^{25664237145261} is an apocalyptic number.

It is an amenable number.

25664237145261 is a deficient number, since it is larger than the sum of its proper divisors (19831207088979).

25664237145261 is a wasteful number, since it uses less digits than its factorization.

25664237145261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39236 (or 39233 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 25664237145261 in words is "twenty-five trillion, six hundred sixty-four billion, two hundred thirty-seven million, one hundred forty-five thousand, two hundred sixty-one".