1052616000 has 224 divisors, whose sum is σ = 3537630720. Its totient is φ = 275712000.

The previous prime is 1052615959. The next prime is 1052616053. The reversal of 1052616000 is 6162501.

It is a happy number.

It is a super-2 number, since 2×1052616000² = 2216000886912000000, 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 31 ways as a sum of consecutive naturals, for example, 1463641 + ... + 1464359.

Almost surely, 2^1052616000 is an apocalyptic number.

1052616000 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 1052616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768815360).

1052616000 is an abundant number, since it is smaller than the sum of its proper divisors (2485014720).

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

1052616000 is an equidigital number, since it uses as much as digits as its factorization.

1052616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1052616000 is about 32444.0441375609. The cubic root of 1052616000 is about 1017.2397497588.

Adding to 1052616000 its reverse (6162501), we get a palindrome (1058778501).

The spelling of 1052616000 in words is "one billion, fifty-two million, six hundred sixteen thousand".