1003540232541 has 48 divisors (see below), whose sum is σ = 1698442862400. Its totient is φ = 521187448320.

The previous prime is 1003540232531. The next prime is 1003540232561. The reversal of 1003540232541 is 1452320453001.

It is not a de Polignac number, because 1003540232541 - 2⁹ = 1003540232029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003540232499 and 1003540232508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003540232531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6470595 + ... + 6623871.

It is an arithmetic number, because the mean of its divisors is an integer number (35384226300).

Almost surely, 2^{1003540232541} is an apocalyptic number.

1003540232541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003540232541 is a deficient number, since it is larger than the sum of its proper divisors (694902629859).

1003540232541 is a wasteful number, since it uses less digits than its factorization.

1003540232541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157354 (or 157347 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1003540232541 its reverse (1452320453001), we get a palindrome (2455860685542).

The spelling of 1003540232541 in words is "one trillion, three billion, five hundred forty million, two hundred thirty-two thousand, five hundred forty-one".