10540202125 has 16 divisors (see below), whose sum is σ = 13270598640. Its totient is φ = 8357529600.

The previous prime is 10540202053. The next prime is 10540202131. The reversal of 10540202125 is 52120204501.

It can be written as a sum of positive squares in 8 ways, for example, as 8434218244 + 2105983881 = 91838^2 + 45891^2 .

It is not a de Polignac number, because 10540202125 - 2⁹ = 10540201613 is a prime.

It is a super-2 number, since 2×10540202125² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540202096 and 10540202105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358980 + ... + 387229.

It is an arithmetic number, because the mean of its divisors is an integer number (829412415).

Almost surely, 2^10540202125 is an apocalyptic number.

It is an amenable number.

10540202125 is a deficient number, since it is larger than the sum of its proper divisors (2730396515).

10540202125 is an equidigital number, since it uses as much as digits as its factorization.

10540202125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746337 (or 746327 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 10540202125 its reverse (52120204501), we get a palindrome (62660406626).

The spelling of 10540202125 in words is "ten billion, five hundred forty million, two hundred two thousand, one hundred twenty-five".