1003540001525 has 24 divisors (see below), whose sum is σ = 1252917558144. Its totient is φ = 797332536000.

The previous prime is 1003540001479. The next prime is 1003540001573. The reversal of 1003540001525 is 5251000453001.

It is not a de Polignac number, because 1003540001525 - 2¹⁰ = 1003540000501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003540001494 and 1003540001503.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17838992 + ... + 17895158.

It is an arithmetic number, because the mean of its divisors is an integer number (52204898256).

Almost surely, 2^{1003540001525} is an apocalyptic number.

It is an amenable number.

1003540001525 is a deficient number, since it is larger than the sum of its proper divisors (249377556619).

1003540001525 is a wasteful number, since it uses less digits than its factorization.

1003540001525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61061 (or 61056 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 1003540001525 its reverse (5251000453001), we get a palindrome (6254540454526).

The spelling of 1003540001525 in words is "one trillion, three billion, five hundred forty million, one thousand, five hundred twenty-five".