1305323225253 has 32 divisors (see below), whose sum is σ = 1952126853120. Its totient is φ = 861975900720.

The previous prime is 1305323225251. The next prime is 1305323225257. The reversal of 1305323225253 is 3525223235031.

1305323225253 is a `hidden beast` number, since 1 + 3 + 0 + 532 + 3 + 22 + 52 + 53 = 666.

It is not a de Polignac number, because 1305323225253 - 2¹ = 1305323225251 is a prime.

It is a super-3 number, since 3×1305323225253³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305323225251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28263126 + ... + 28309272.

It is an arithmetic number, because the mean of its divisors is an integer number (61003964160).

Almost surely, 2^{1305323225253} is an apocalyptic number.

It is an amenable number.

1305323225253 is a deficient number, since it is larger than the sum of its proper divisors (646803627867).

1305323225253 is a wasteful number, since it uses less digits than its factorization.

1305323225253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56054 (or 56048 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 1305323225253 in words is "one trillion, three hundred five billion, three hundred twenty-three million, two hundred twenty-five thousand, two hundred fifty-three".