1052853120 has 512 divisors, whose sum is σ = 4230144000. Its totient is φ = 245145600.

The previous prime is 1052853101. The next prime is 1052853181. The reversal of 1052853120 is 213582501.

It is a happy number.

1052853120 is a `hidden beast` number, since 10 + 528 + 5 + 3 + 120 = 666.

It is a super-2 number, since 2×1052853120² = 2216999384587468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5512225 + ... + 5512415.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^1052853120 is an apocalyptic number.

1052853120 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 1052853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1052853120 is an abundant number, since it is smaller than the sum of its proper divisors (3177290880).

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

1052853120 is a wasteful number, since it uses less digits than its factorization.

1052853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1052853120 is about 32447.6982234488. The cubic root of 1052853120 is about 1017.3161276528.

The spelling of 1052853120 in words is "one billion, fifty-two million, eight hundred fifty-three thousand, one hundred twenty".