1052862624 has 252 divisors, whose sum is σ = 3425184378. Its totient is φ = 318193920.

The previous prime is 1052862619. The next prime is 1052862631. The reversal of 1052862624 is 4262682501.

It is a happy number.

1052862624 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 626 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 882090000 + 170772624 = 29700^2 + 13068^2 .

It is a super-2 number, since 2×1052862624² = 2217039410032330752, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2822502 + ... + 2822874.

Almost surely, 2^1052862624 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 1052862624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712592189).

1052862624 is an abundant number, since it is smaller than the sum of its proper divisors (2372321754).

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

1052862624 is an equidigital number, since it uses as much as digits as its factorization.

1052862624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1052862624 is about 32447.8446741844. The cubic root of 1052862624 is about 1017.3191887139.

The spelling of 1052862624 in words is "one billion, fifty-two million, eight hundred sixty-two thousand, six hundred twenty-four".