1305433460253 has 8 divisors (see below), whose sum is σ = 1874468558368. Its totient is φ = 803343667824.

The previous prime is 1305433460249. The next prime is 1305433460267. The reversal of 1305433460253 is 3520643345031.

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

It is not a de Polignac number, because 1305433460253 - 2² = 1305433460249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 33472652827 = 1305433460253 / (1 + 3 + 0 + 5 + 4 + 3 + 3 + 4 + 6 + 0 + 2 + 5 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305433460203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16736326375 + ... + 16736326452.

It is an arithmetic number, because the mean of its divisors is an integer number (234308569796).

Almost surely, 2^{1305433460253} is an apocalyptic number.

1305433460253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305433460253 is a deficient number, since it is larger than the sum of its proper divisors (569035098115).

1305433460253 is a wasteful number, since it uses less digits than its factorization.

1305433460253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33472652843.

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 1305433460253 in words is "one trillion, three hundred five billion, four hundred thirty-three million, four hundred sixty thousand, two hundred fifty-three".