1052759808 has 144 divisors (see below), whose sum is σ = 3131735040. Its totient is φ = 348834816.

The previous prime is 1052759801. The next prime is 1052759821. The reversal of 1052759808 is 8089572501.

It is a happy number.

1052759808 is a `hidden beast` number, since 1 + 0 + 52 + 7 + 598 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1052759808² = 2216606426680393728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052759801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541035 + ... + 1541717.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^1052759808 is an apocalyptic number.

1052759808 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 1052759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

1052759808 is an abundant number, since it is smaller than the sum of its proper divisors (2078975232).

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

1052759808 is an equidigital number, since it uses as much as digits as its factorization.

1052759808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 1052759808 is about 32446.2603083930. The cubic root of 1052759808 is about 1017.2860726194.

The spelling of 1052759808 in words is "one billion, fifty-two million, seven hundred fifty-nine thousand, eight hundred eight".