1005254541 has 6 divisors (see below), whose sum is σ = 1452034350. Its totient is φ = 670169688.

The previous prime is 1005254507. The next prime is 1005254543. The reversal of 1005254541 is 1454525001.

It can be written as a sum of positive squares in only one way, i.e., 859955625 + 145298916 = 29325^2 + 12054^2 .

It is not a de Polignac number, because 1005254541 - 2⁶ = 1005254477 is a prime.

It is a super-2 number, since 2×1005254541² = 2021073384402241362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005254543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55847466 + ... + 55847483.

It is an arithmetic number, because the mean of its divisors is an integer number (242005725).

Almost surely, 2^1005254541 is an apocalyptic number.

It is an amenable number.

1005254541 is a deficient number, since it is larger than the sum of its proper divisors (446779809).

1005254541 is a wasteful number, since it uses less digits than its factorization.

1005254541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111694955 (or 111694952 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1005254541 is about 31705.7493366739. The cubic root of 1005254541 is about 1001.7484547908.

Adding to 1005254541 its reverse (1454525001), we get a palindrome (2459779542).

The spelling of 1005254541 in words is "one billion, five million, two hundred fifty-four thousand, five hundred forty-one".