1052055600 has 120 divisors (see below), whose sum is σ = 3382058832. Its totient is φ = 279552000.

The previous prime is 1052055569. The next prime is 1052055601. The reversal of 1052055600 is 65502501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1052055600² = 2213641970982720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1052055601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374200 + ... + 377000.

Almost surely, 2^1052055600 is an apocalyptic number.

1052055600 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 1052055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691029416).

1052055600 is an abundant number, since it is smaller than the sum of its proper divisors (2330003232).

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

1052055600 is a wasteful number, since it uses less digits than its factorization.

1052055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1052055600 is about 32435.4065798473. The cubic root of 1052055600 is about 1017.0591956757.

The spelling of 1052055600 in words is "one billion, fifty-two million, fifty-five thousand, six hundred".