10587003541 has 2 divisors, whose sum is σ = 10587003542. Its totient is φ = 10587003540.

The previous prime is 10587003503. The next prime is 10587003563. The reversal of 10587003541 is 14530078501.

It is a happy number.

10587003541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10553247441 + 33756100 = 102729^2 + 5810^2 .

It is a cyclic number.

It is not a de Polignac number, because 10587003541 - 2¹⁵ = 10586970773 is a prime.

It is a super-3 number, since 3×10587003541³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10587003497 and 10587003506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10587003241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5293501770 + 5293501771.

It is an arithmetic number, because the mean of its divisors is an integer number (5293501771).

Almost surely, 2^10587003541 is an apocalyptic number.

It is an amenable number.

10587003541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10587003541 is an equidigital number, since it uses as much as digits as its factorization.

10587003541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10587003541 in words is "ten billion, five hundred eighty-seven million, three thousand, five hundred forty-one".