1001042541 has 12 divisors (see below), whose sum is σ = 1462198140. Its totient is φ = 659862720.

The previous prime is 1001042521. The next prime is 1001042543. The reversal of 1001042541 is 1452401001.

It can be written as a sum of positive squares in 2 ways, for example, as 74753316 + 926289225 = 8646^2 + 30435^2 .

It is not a de Polignac number, because 1001042541 - 2⁵ = 1001042509 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001042543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624070 + ... + 625671.

It is an arithmetic number, because the mean of its divisors is an integer number (121849845).

Almost surely, 2^1001042541 is an apocalyptic number.

It is an amenable number.

1001042541 is a deficient number, since it is larger than the sum of its proper divisors (461155599).

1001042541 is a wasteful number, since it uses less digits than its factorization.

1001042541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249836 (or 1249833 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1001042541 is about 31639.2563281756. The cubic root of 1001042541 is about 1000.3473929708.

Adding to 1001042541 its reverse (1452401001), we get a palindrome (2453443542).

The spelling of 1001042541 in words is "one billion, one million, forty-two thousand, five hundred forty-one".