1053035013200 has 60 divisors (see below), whose sum is σ = 2534459196060. Its totient is φ = 420457697280.

The previous prime is 1053035013193. The next prime is 1053035013211. The reversal of 1053035013200 is 23105303501.

It can be written as a sum of positive squares in 6 ways, for example, as 484410432016 + 568624581184 = 695996^2 + 754072^2 .

It is a super-2 number, since 2×1053035013200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140385 + ... + 2585984.

It is an arithmetic number, because the mean of its divisors is an integer number (42240986601).

Almost surely, 2^{1053035013200} is an apocalyptic number.

1053035013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053035013200 is an abundant number, since it is smaller than the sum of its proper divisors (1481424182860).

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

1053035013200 is a wasteful number, since it uses less digits than its factorization.

1053035013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726944 (or 4726933 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The spelling of 1053035013200 in words is "one trillion, fifty-three billion, thirty-five million, thirteen thousand, two hundred".