1005861952 has 28 divisors (see below), whose sum is σ = 1998023436. Its totient is φ = 502423040.

The previous prime is 1005861949. The next prime is 1005861959. The reversal of 1005861952 is 2591685001.

1005861952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 479434816 + 526427136 = 21896^2 + 22944^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1005861959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60498 + ... + 75310.

Almost surely, 2^1005861952 is an apocalyptic number.

It is an amenable number.

1005861952 is a deficient number, since it is larger than the sum of its proper divisors (992161484).

1005861952 is a wasteful number, since it uses less digits than its factorization.

1005861952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 1005861952 is about 31715.3267679840. The cubic root of 1005861952 is about 1001.9501783322.

It can be divided in two parts, 10058 and 61952, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 1005861952 in words is "one billion, five million, eight hundred sixty-one thousand, nine hundred fifty-two".