1253827538305 has 16 divisors (see below), whose sum is σ = 1545778864080. Its totient is φ = 975623104512.

The previous prime is 1253827538297. The next prime is 1253827538317. The reversal of 1253827538305 is 5038357283521.

It can be written as a sum of positive squares in 8 ways, for example, as 211221129744 + 1042606408561 = 459588^2 + 1021081^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253827538305 - 2³ = 1253827538297 is a prime.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 592104 + ... + 1690633.

It is an arithmetic number, because the mean of its divisors is an integer number (96611179005).

Almost surely, 2^{1253827538305} is an apocalyptic number.

It is an amenable number.

1253827538305 is a deficient number, since it is larger than the sum of its proper divisors (291951325775).

1253827538305 is a wasteful number, since it uses less digits than its factorization.

1253827538305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285748.

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 1253827538305 in words is "one trillion, two hundred fifty-three billion, eight hundred twenty-seven million, five hundred thirty-eight thousand, three hundred five".