25277736805313 has 2 divisors, whose sum is σ = 25277736805314. Its totient is φ = 25277736805312.

The previous prime is 25277736805267. The next prime is 25277736805331. The reversal of 25277736805313 is 31350863777252.

Together with next prime (25277736805331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19964748685249 + 5312988120064 = 4468193^2 + 2304992^2 .

It is a cyclic number.

It is not a de Polignac number, because 25277736805313 - 2¹⁰ = 25277736804289 is a prime.

It is not a weakly prime, because it can be changed into another prime (25277736505313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12638868402656 + 12638868402657.

It is an arithmetic number, because the mean of its divisors is an integer number (12638868402657).

Almost surely, 2^{25277736805313} is an apocalyptic number.

It is an amenable number.

25277736805313 is a deficient number, since it is larger than the sum of its proper divisors (1).

25277736805313 is an equidigital number, since it uses as much as digits as its factorization.

25277736805313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44452800, while the sum is 59.

The spelling of 25277736805313 in words is "twenty-five trillion, two hundred seventy-seven billion, seven hundred thirty-six million, eight hundred five thousand, three hundred thirteen".