1305213533 has 16 divisors (see below), whose sum is σ = 1435197120. Its totient is φ = 1186696368.

The previous prime is 1305213487. The next prime is 1305213587. The reversal of 1305213533 is 3353125031.

It is not a de Polignac number, because 1305213533 - 2⁸ = 1305213277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305213593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142766 + ... + 151632.

It is an arithmetic number, because the mean of its divisors is an integer number (89699820).

Almost surely, 2^1305213533 is an apocalyptic number.

1305213533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305213533 is a deficient number, since it is larger than the sum of its proper divisors (129983587).

1305213533 is an frugal number, since it uses more digits than its factorization.

1305213533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 1305213533 is about 36127.7391072289. The cubic root of 1305213533 is about 1092.8499146728.

Adding to 1305213533 its reverse (3353125031), we get a palindrome (4658338564).

The spelling of 1305213533 in words is "one billion, three hundred five million, two hundred thirteen thousand, five hundred thirty-three".