1000705152 has 64 divisors (see below), whose sum is σ = 2684036160. Its totient is φ = 330316800.

The previous prime is 1000705151. The next prime is 1000705171. The reversal of 1000705152 is 2515070001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1000705151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26902 + ... + 52202.

It is an arithmetic number, because the mean of its divisors is an integer number (41938065).

Almost surely, 2^1000705152 is an apocalyptic number.

1000705152 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 1000705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342018080).

1000705152 is an abundant number, since it is smaller than the sum of its proper divisors (1683331008).

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

1000705152 is a wasteful number, since it uses less digits than its factorization.

1000705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421 (or 25409 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1000705152 is about 31633.9240689485. The cubic root of 1000705152 is about 1000.2349954395.

Adding to 1000705152 its reverse (2515070001), we get a palindrome (3515775153).

The spelling of 1000705152 in words is "one billion, seven hundred five thousand, one hundred fifty-two".