1052656164 has 144 divisors (see below), whose sum is σ = 3232028800. Its totient is φ = 282175488.

The previous prime is 1052656147. The next prime is 1052656217. The reversal of 1052656164 is 4616562501.

1052656164 is a `hidden beast` number, since 10 + 5 + 26 + 5 + 616 + 4 = 666.

1052656164 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 2×1052656164² = 2216169999214389792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520884 + ... + 522900.

Almost surely, 2^1052656164 is an apocalyptic number.

1052656164 is a gapful number since it is divisible by the number (14) 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 1052656164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616014400).

1052656164 is an abundant number, since it is smaller than the sum of its proper divisors (2179372636).

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

1052656164 is a wasteful number, since it uses less digits than its factorization.

1052656164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1052656164 is about 32444.6631050470. The cubic root of 1052656164 is about 1017.2526876512.

The spelling of 1052656164 in words is "one billion, fifty-two million, six hundred fifty-six thousand, one hundred sixty-four".