1053216000 has 576 divisors, whose sum is σ = 4132477440. Its totient is φ = 263577600.

The previous prime is 1053215951. The next prime is 1053216001. The reversal of 1053216000 is 6123501.

1053216000 is a `hidden beast` number, since 10 + 53 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1053216000² = 2218527885312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19871974 + ... + 19872026.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^1053216000 is an apocalyptic number.

1053216000 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 1053216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066238720).

1053216000 is an abundant number, since it is smaller than the sum of its proper divisors (3079261440).

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

1053216000 is an equidigital number, since it uses as much as digits as its factorization.

1053216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1053216000 is about 32453.2895096938. The cubic root of 1053216000 is about 1017.4329914600.

Adding to 1053216000 its reverse (6123501), we get a palindrome (1059339501).

The spelling of 1053216000 in words is "one billion, fifty-three million, two hundred sixteen thousand".