10540413201 has 16 divisors (see below), whose sum is σ = 14216532480. Its totient is φ = 6945671040.

The previous prime is 10540413179. The next prime is 10540413203. The reversal of 10540413201 is 10231404501.

It is not a de Polignac number, because 10540413201 - 2¹⁸ = 10540151057 is a prime.

It is a super-2 number, since 2×10540413201² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540413203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229536 + ... + 1238078.

It is an arithmetic number, because the mean of its divisors is an integer number (888533280).

Almost surely, 2^10540413201 is an apocalyptic number.

It is an amenable number.

10540413201 is a deficient number, since it is larger than the sum of its proper divisors (3676119279).

10540413201 is an equidigital number, since it uses as much as digits as its factorization.

10540413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13256.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10540413201 its reverse (10231404501), we get a palindrome (20771817702).

The spelling of 10540413201 in words is "ten billion, five hundred forty million, four hundred thirteen thousand, two hundred one".