1053513520 has 60 divisors (see below), whose sum is σ = 2585191680. Its totient is φ = 399215232.

The previous prime is 1053513473. The next prime is 1053513521. The reversal of 1053513520 is 253153501.

It is a super-2 number, since 2×1053513520² = 2219781473645580800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053513521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10641 + ... + 47119.

It is an arithmetic number, because the mean of its divisors is an integer number (43086528).

Almost surely, 2^1053513520 is an apocalyptic number.

1053513520 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 1053513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292595840).

1053513520 is an abundant number, since it is smaller than the sum of its proper divisors (1531678160).

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

1053513520 is a wasteful number, since it uses less digits than its factorization.

1053513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36530 (or 36505 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1053513520 is about 32457.8730048659. The cubic root of 1053513520 is about 1017.5287863601.

The spelling of 1053513520 in words is "one billion, fifty-three million, five hundred thirteen thousand, five hundred twenty".