1053457824 has 48 divisors (see below), whose sum is σ = 2771822592. Its totient is φ = 350327808.

The previous prime is 1053457807. The next prime is 1053457849. The reversal of 1053457824 is 4287543501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1053457824² = 2219546773893629952, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28897 + ... + 54239.

It is an arithmetic number, because the mean of its divisors is an integer number (57746304).

Almost surely, 2^1053457824 is an apocalyptic number.

It is an amenable number.

1053457824 is an abundant number, since it is smaller than the sum of its proper divisors (1718364768).

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

1053457824 is a wasteful number, since it uses less digits than its factorization.

1053457824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25789 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 1053457824 is about 32457.0150198690. The cubic root of 1053457824 is about 1017.5108548446.

The spelling of 1053457824 in words is "one billion, fifty-three million, four hundred fifty-seven thousand, eight hundred twenty-four".