1052005600 has 36 divisors (see below), whose sum is σ = 2568210624. Its totient is φ = 420801920.

The previous prime is 1052005567. The next prime is 1052005627. The reversal of 1052005600 is 65002501.

It is a happy number.

1052005600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052005600² = 2213431564862720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656704 + ... + 658303.

It is an arithmetic number, because the mean of its divisors is an integer number (71339184).

Almost surely, 2^1052005600 is an apocalyptic number.

1052005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052005600 is an abundant number, since it is smaller than the sum of its proper divisors (1516205024).

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

1052005600 is a wasteful number, since it uses less digits than its factorization.

1052005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315027 (or 1315014 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1052005600 is about 32434.6358080371. The cubic root of 1052005600 is about 1017.0430831669.

The spelling of 1052005600 in words is "one billion, fifty-two million, five thousand, six hundred".