1052651952 has 120 divisors (see below), whose sum is σ = 3242770128. Its totient is φ = 316108800.

The previous prime is 1052651843. The next prime is 1052651953. The reversal of 1052651952 is 2591562501.

It is a super-2 number, since 2×1052651952² = 2216152264098820608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052651953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176052 + ... + 181932.

Almost surely, 2^1052651952 is an apocalyptic number.

1052651952 is a gapful number since it is divisible by the number (12) 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 1052651952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621385064).

1052651952 is an abundant number, since it is smaller than the sum of its proper divisors (2190118176).

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

1052651952 is a wasteful number, since it uses less digits than its factorization.

1052651952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1052651952 is about 32444.5981944607. The cubic root of 1052651952 is about 1017.2513308695.

The spelling of 1052651952 in words is "one billion, fifty-two million, six hundred fifty-one thousand, nine hundred fifty-two".