1053931824 has 240 divisors, whose sum is σ = 3515191680. Its totient is φ = 302330880.

The previous prime is 1053931819. The next prime is 1053931861. The reversal of 1053931824 is 4281393501.

1053931824 is a `hidden beast` number, since 10 + 539 + 31 + 82 + 4 = 666.

It is a super-2 number, since 2×1053931824² = 2221544579279933952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 811944 + ... + 813240.

It is an arithmetic number, because the mean of its divisors is an integer number (14646632).

Almost surely, 2^1053931824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053931824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757595840).

1053931824 is an abundant number, since it is smaller than the sum of its proper divisors (2461259856).

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

1053931824 is a wasteful number, since it uses less digits than its factorization.

1053931824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1053931824 is about 32464.3161640593. The cubic root of 1053931824 is about 1017.6634405535.

The spelling of 1053931824 in words is "one billion, fifty-three million, nine hundred thirty-one thousand, eight hundred twenty-four".