1052146000 has 40 divisors (see below), whose sum is σ = 2544093864. Its totient is φ = 420857600.

The previous prime is 1052145979. The next prime is 1052146027. The reversal of 1052146000 is 6412501.

It can be written as a sum of positive squares in 4 ways, for example, as 304014096 + 748131904 = 17436^2 + 27352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052146000² = 2214022410632000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261037 + ... + 265036.

Almost surely, 2^1052146000 is an apocalyptic number.

1052146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052146000 is an abundant number, since it is smaller than the sum of its proper divisors (1491947864).

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

1052146000 is an equidigital number, since it uses as much as digits as its factorization.

1052146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526096 (or 526080 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1052146000 is about 32436.8000887880. The cubic root of 1052146000 is about 1017.0883257958.

Adding to 1052146000 its reverse (6412501), we get a palindrome (1058558501).

The spelling of 1052146000 in words is "one billion, fifty-two million, one hundred forty-six thousand".