1053052513440 has 96 divisors (see below), whose sum is σ = 3357080790336. Its totient is φ = 277430691840.

The previous prime is 1053052513399. The next prime is 1053052513453. The reversal of 1053052513440 is 443152503501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1053052513440² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13176181 + ... + 13255860.

It is an arithmetic number, because the mean of its divisors is an integer number (34969591566).

Almost surely, 2^{1053052513440} is an apocalyptic number.

1053052513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053052513440 is an abundant number, since it is smaller than the sum of its proper divisors (2304028276896).

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

1053052513440 is a wasteful number, since it uses less digits than its factorization.

1053052513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432142 (or 26432134 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 1053052513440 in words is "one trillion, fifty-three billion, fifty-two million, five hundred thirteen thousand, four hundred forty".