1253251253205 has 48 divisors (see below), whose sum is σ = 2483821926144. Its totient is φ = 572640042240.

The previous prime is 1253251253161. The next prime is 1253251253239. The reversal of 1253251253205 is 5023521523521.

1253251253205 is a `hidden beast` number, since 1 + 2 + 5 + 325 + 1 + 2 + 5 + 320 + 5 = 666.

It is not a de Polignac number, because 1253251253205 - 2³¹ = 1251103769557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1253251253205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295776 + ... + 1610585.

It is an arithmetic number, because the mean of its divisors is an integer number (51746290128).

Almost surely, 2^{1253251253205} is an apocalyptic number.

1253251253205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253251253205 is a deficient number, since it is larger than the sum of its proper divisors (1230570672939).

1253251253205 is a wasteful number, since it uses less digits than its factorization.

1253251253205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908466 (or 1908463 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 1253251253205 its reverse (5023521523521), we get a palindrome (6276772776726).

The spelling of 1253251253205 in words is "one trillion, two hundred fifty-three billion, two hundred fifty-one million, two hundred fifty-three thousand, two hundred five".