1053033520 has 120 divisors (see below), whose sum is σ = 3107064528. Its totient is φ = 328204800.

The previous prime is 1053033473. The next prime is 1053033539. The reversal of 1053033520 is 253303501.

It is a happy number.

It is a super-2 number, since 2×1053033520² = 2217759188487180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1053033491 and 1053033500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30910 + ... + 55330.

Almost surely, 2^1053033520 is an apocalyptic number.

1053033520 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 1053033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553532264).

1053033520 is an abundant number, since it is smaller than the sum of its proper divisors (2054031008).

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

1053033520 is a wasteful number, since it uses less digits than its factorization.

1053033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24459 (or 24446 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 1053033520 is about 32450.4779625817. The cubic root of 1053033520 is about 1017.3742279851.

The spelling of 1053033520 in words is "one billion, fifty-three million, thirty-three thousand, five hundred twenty".