1305200351253 has 8 divisors (see below), whose sum is σ = 1787301382048. Its totient is φ = 846616443984.

The previous prime is 1305200351239. The next prime is 1305200351261. The reversal of 1305200351253 is 3521530025031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1305200351253 - 2⁴ = 1305200351237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1305200351253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305200351293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5879280751 + ... + 5879280972.

It is an arithmetic number, because the mean of its divisors is an integer number (223412672756).

Almost surely, 2^{1305200351253} is an apocalyptic number.

It is an amenable number.

1305200351253 is a deficient number, since it is larger than the sum of its proper divisors (482101030795).

1305200351253 is a wasteful number, since it uses less digits than its factorization.

1305200351253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758561763.

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 1305200351253 its reverse (3521530025031), we get a palindrome (4826730376284).

The spelling of 1305200351253 in words is "one trillion, three hundred five billion, two hundred million, three hundred fifty-one thousand, two hundred fifty-three".