1053131520 has 432 divisors, whose sum is σ = 4068459360. Its totient is φ = 231211008.

The previous prime is 1053131501. The next prime is 1053131537. The reversal of 1053131520 is 251313501.

It is a super-2 number, since 2×1053131520² = 2218171996835020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5456544 + ... + 5456736.

It is an arithmetic number, because the mean of its divisors is an integer number (9417730).

Almost surely, 2^1053131520 is an apocalyptic number.

1053131520 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 1053131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034229680).

1053131520 is an abundant number, since it is smaller than the sum of its proper divisors (3015327840).

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

1053131520 is a wasteful number, since it uses less digits than its factorization.

1053131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1053131520 is about 32451.9879206190. The cubic root of 1053131520 is about 1017.4057874685.

The spelling of 1053131520 in words is "one billion, fifty-three million, one hundred thirty-one thousand, five hundred twenty".