1053142331520 has 256 divisors, whose sum is σ = 3392792282880. Its totient is φ = 277850603520.

The previous prime is 1053142331471. The next prime is 1053142331533. The reversal of 1053142331520 is 251332413501.

It is a super-3 number, since 3×1053142331520³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68453749 + ... + 68469131.

It is an arithmetic number, because the mean of its divisors is an integer number (13253094855).

Almost surely, 2^{1053142331520} is an apocalyptic number.

1053142331520 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 1053142331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696396141440).

1053142331520 is an abundant number, since it is smaller than the sum of its proper divisors (2339649951360).

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

1053142331520 is a wasteful number, since it uses less digits than its factorization.

1053142331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15783 (or 15771 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1053142331520 in words is "one trillion, fifty-three billion, one hundred forty-two million, three hundred thirty-one thousand, five hundred twenty".