1052123632 has 160 divisors (see below), whose sum is σ = 2599833600. Its totient is φ = 402278400.

The previous prime is 1052123621. The next prime is 1052123641. The reversal of 1052123632 is 2363212501.

It is a super-2 number, since 2×1052123632² = 2213928274025742848, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1052123597 and 1052123606.

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, 2704494 + ... + 2704882.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^1052123632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052123632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299916800).

1052123632 is an abundant number, since it is smaller than the sum of its proper divisors (1547709968).

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

1052123632 is a wasteful number, since it uses less digits than its factorization.

1052123632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1052123632 is about 32436.4552933886. The cubic root of 1052123632 is about 1017.0811181799.

The spelling of 1052123632 in words is "one billion, fifty-two million, one hundred twenty-three thousand, six hundred thirty-two".