1052158968 has 288 divisors, whose sum is σ = 3586854960. Its totient is φ = 276756480.

The previous prime is 1052158949. The next prime is 1052158997. The reversal of 1052158968 is 8698512501.

It is a happy number.

1052158968 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 589 + 68 = 666.

It is a Cunningham number, because it is equal to 32437²-1.

It is a super-2 number, since 2×1052158968² = 2214076987885650048, 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 71 ways as a sum of consecutive naturals, for example, 3178563 + ... + 3178893.

It is a vampire number, since it can be written as 18921 ⋅ 55608 (with its own digits).

Almost surely, 2^1052158968 is an apocalyptic number.

1052158968 is a gapful number since it is divisible by the number (18) 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 1052158968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793427480).

1052158968 is an abundant number, since it is smaller than the sum of its proper divisors (2534695992).

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

1052158968 is a wasteful number, since it uses less digits than its factorization.

1052158968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1052158968 is about 32436.9999845855. Note that the first 4 decimals coincide. The cubic root of 1052158968 is about 1017.0925044134.

The spelling of 1052158968 in words is "one billion, fifty-two million, one hundred fifty-eight thousand, nine hundred sixty-eight".