25701245681329 has 2 divisors, whose sum is σ = 25701245681330. Its totient is φ = 25701245681328.

The previous prime is 25701245681297. The next prime is 25701245681333. The reversal of 25701245681329 is 92318654210752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22945058010000 + 2756187671329 = 4790100^2 + 1660177^2 .

It is a cyclic number.

It is not a de Polignac number, because 25701245681329 - 2⁵ = 25701245681297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25701245681329.

It is not a weakly prime, because it can be changed into another prime (25701245681339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12850622840664 + 12850622840665.

It is an arithmetic number, because the mean of its divisors is an integer number (12850622840665).

It is a 1-persistent number, because it is pandigital, but 2⋅25701245681329 = 51402491362658 is not.

Almost surely, 2^{25701245681329} is an apocalyptic number.

It is an amenable number.

25701245681329 is a deficient number, since it is larger than the sum of its proper divisors (1).

25701245681329 is an equidigital number, since it uses as much as digits as its factorization.

25701245681329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 25701245681329 in words is "twenty-five trillion, seven hundred one billion, two hundred forty-five million, six hundred eighty-one thousand, three hundred twenty-nine".