25953927973601 has 2 divisors, whose sum is σ = 25953927973602. Its totient is φ = 25953927973600.

The previous prime is 25953927973543. The next prime is 25953927973639. The reversal of 25953927973601 is 10637972935952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21510162789025 + 4443765184576 = 4637905^2 + 2108024^2 .

It is a cyclic number.

It is not a de Polignac number, because 25953927973601 - 2⁴² = 21555881462497 is a prime.

It is not a weakly prime, because it can be changed into another prime (25953927973681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12976963986800 + 12976963986801.

It is an arithmetic number, because the mean of its divisors is an integer number (12976963986801).

Almost surely, 2^{25953927973601} is an apocalyptic number.

It is an amenable number.

25953927973601 is a deficient number, since it is larger than the sum of its proper divisors (1).

25953927973601 is an equidigital number, since it uses as much as digits as its factorization.

25953927973601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192893400, while the sum is 68.

The spelling of 25953927973601 in words is "twenty-five trillion, nine hundred fifty-three billion, nine hundred twenty-seven million, nine hundred seventy-three thousand, six hundred one".