1052593029264 has 80 divisors (see below), whose sum is σ = 3107849434112. Its totient is φ = 300722108544.

The previous prime is 1052593029259. The next prime is 1052593029277. The reversal of 1052593029264 is 4629203952501.

It is a super-2 number, since 2×1052593029264² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5832447 + ... + 6010209.

Almost surely, 2^{1052593029264} is an apocalyptic number.

1052593029264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1052593029264 is an abundant number, since it is smaller than the sum of its proper divisors (2055256404848).

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

1052593029264 is a wasteful number, since it uses less digits than its factorization.

1052593029264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195404 (or 195398 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 1052593029264 in words is "one trillion, fifty-two billion, five hundred ninety-three million, twenty-nine thousand, two hundred sixty-four".