10010352541 has 24 divisors (see below), whose sum is σ = 11843249784. Its totient is φ = 8434782720.

The previous prime is 10010352533. The next prime is 10010352659. The reversal of 10010352541 is 14525301001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 238239225 + 9772113316 = 15435^2 + 98854^2 .

It is not a de Polignac number, because 10010352541 - 2³ = 10010352533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010352041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1115131 + ... + 1124071.

It is an arithmetic number, because the mean of its divisors is an integer number (493468741).

Almost surely, 2^10010352541 is an apocalyptic number.

It is an amenable number.

10010352541 is a deficient number, since it is larger than the sum of its proper divisors (1832897243).

10010352541 is an equidigital number, since it uses as much as digits as its factorization.

10010352541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9341 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 10010352541 its reverse (14525301001), we get a palindrome (24535653542).

The spelling of 10010352541 in words is "ten billion, ten million, three hundred fifty-two thousand, five hundred forty-one".