1305540550253 has 2 divisors, whose sum is σ = 1305540550254. Its totient is φ = 1305540550252.

The previous prime is 1305540550247. The next prime is 1305540550267. The reversal of 1305540550253 is 3520550455031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 738769473289 + 566771076964 = 859517^2 + 752842^2 .

It is an emirp because it is prime and its reverse (3520550455031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1305540550253 - 2⁶ = 1305540550189 is a prime.

It is a super-2 number, since 2×1305540550253² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305540550243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652770275126 + 652770275127.

It is an arithmetic number, because the mean of its divisors is an integer number (652770275127).

Almost surely, 2^{1305540550253} is an apocalyptic number.

It is an amenable number.

1305540550253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305540550253 is an equidigital number, since it uses as much as digits as its factorization.

1305540550253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225000, while the sum is 38.

The spelling of 1305540550253 in words is "one trillion, three hundred five billion, five hundred forty million, five hundred fifty thousand, two hundred fifty-three".