1032541205 has 16 divisors (see below), whose sum is σ = 1261054704. Its totient is φ = 811399680.

The previous prime is 1032541199. The next prime is 1032541207. The reversal of 1032541205 is 5021452301.

1032541205 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 8 ways, for example, as 759663844 + 272877361 = 27562^2 + 16519^2 .

It is not a de Polignac number, because 1032541205 - 2⁶ = 1032541141 is a prime.

It is a super-2 number, since 2×1032541205² = 2132282680045704050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032541207) 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, 283979 + ... + 287591.

It is an arithmetic number, because the mean of its divisors is an integer number (78815919).

Almost surely, 2^1032541205 is an apocalyptic number.

It is an amenable number.

1032541205 is a deficient number, since it is larger than the sum of its proper divisors (228513499).

1032541205 is an equidigital number, since it uses as much as digits as its factorization.

1032541205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1032541205 is about 32133.1791922306. The cubic root of 1032541205 is about 1010.7314914606.

Adding to 1032541205 its reverse (5021452301), we get a palindrome (6053993506).

The spelling of 1032541205 in words is "one billion, thirty-two million, five hundred forty-one thousand, two hundred five".