1053325543040 has 128 divisors (see below), whose sum is σ = 2589331179600. Its totient is φ = 409440780288.

The previous prime is 1053325543031. The next prime is 1053325543051. The reversal of 1053325543040 is 403455233501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 849361305664 + 203964237376 = 921608^2 + 451624^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1053325543040³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 19603892 + ... + 19657548.

Almost surely, 2^{1053325543040} is an apocalyptic number.

1053325543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053325543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294665589800).

1053325543040 is an abundant number, since it is smaller than the sum of its proper divisors (1536005636560).

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

1053325543040 is an equidigital number, since it uses as much as digits as its factorization.

1053325543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54542 (or 54530 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 1053325543040 in words is "one trillion, fifty-three billion, three hundred twenty-five million, five hundred forty-three thousand, forty".