1305133764 has 48 divisors (see below), whose sum is σ = 3399432960. Its totient is φ = 386295840.

The previous prime is 1305133757. The next prime is 1305133793. The reversal of 1305133764 is 4673315031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109294 + ... + 120645.

It is an arithmetic number, because the mean of its divisors is an integer number (70821520).

Almost surely, 2^1305133764 is an apocalyptic number.

It is an amenable number.

1305133764 is an abundant number, since it is smaller than the sum of its proper divisors (2094299196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305133764 is a wasteful number, since it uses less digits than its factorization.

1305133764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230000 (or 229998 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 1305133764 is about 36126.6351048641. The cubic root of 1305133764 is about 1092.8276508009.

Adding to 1305133764 its reverse (4673315031), we get a palindrome (5978448795).

The spelling of 1305133764 in words is "one billion, three hundred five million, one hundred thirty-three thousand, seven hundred sixty-four".