1053783540 has 96 divisors (see below), whose sum is σ = 3332286720. Its totient is φ = 276393600.

The previous prime is 1053783503. The next prime is 1053783553. The reversal of 1053783540 is 453873501.

1053783540 is a `hidden beast` number, since 1 + 0 + 5 + 37 + 83 + 540 = 666.

It is a super-2 number, since 2×1053783540² = 2220919498349863200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053783495 and 1053783504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16945 + ... + 48935.

It is an arithmetic number, because the mean of its divisors is an integer number (34711320).

Almost surely, 2^1053783540 is an apocalyptic number.

1053783540 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 1053783540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666143360).

1053783540 is an abundant number, since it is smaller than the sum of its proper divisors (2278503180).

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

1053783540 is a wasteful number, since it uses less digits than its factorization.

1053783540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32070 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1053783540 is about 32462.0322838851. The cubic root of 1053783540 is about 1017.6157112540.

The spelling of 1053783540 in words is "one billion, fifty-three million, seven hundred eighty-three thousand, five hundred forty".