1053329200 has 180 divisors, whose sum is σ = 3179987440. Its totient is φ = 328204800.

The previous prime is 1053329159. The next prime is 1053329227. The reversal of 1053329200 is 29233501.

It is a happy number.

It is a super-2 number, since 2×1053329200² = 2219004807145280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337246 + ... + 340354.

Almost surely, 2^1053329200 is an apocalyptic number.

1053329200 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 1053329200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589993720).

1053329200 is an abundant number, since it is smaller than the sum of its proper divisors (2126658240).

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

1053329200 is a wasteful number, since it uses less digits than its factorization.

1053329200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 1053329200 is about 32455.0335079168. The cubic root of 1053329200 is about 1017.4694414976.

The spelling of 1053329200 in words is "one billion, fifty-three million, three hundred twenty-nine thousand, two hundred".