1253540105 has 16 divisors (see below), whose sum is σ = 1585441920. Its totient is φ = 948837888.

The previous prime is 1253540083. The next prime is 1253540107. The reversal of 1253540105 is 5010453521.

It is a cyclic number.

It is not a de Polignac number, because 1253540105 - 2²⁴ = 1236762889 is a prime.

It is a super-2 number, since 2×1253540105² = 3142725589686822050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1253540107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70169 + ... + 86201.

It is an arithmetic number, because the mean of its divisors is an integer number (99090120).

Almost surely, 2^1253540105 is an apocalyptic number.

It is an amenable number.

1253540105 is a deficient number, since it is larger than the sum of its proper divisors (331901815).

1253540105 is a wasteful number, since it uses less digits than its factorization.

1253540105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16880.

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

The square root of 1253540105 is about 35405.3683076451. The cubic root of 1253540105 is about 1078.2333098552.

Adding to 1253540105 its reverse (5010453521), we get a palindrome (6263993626).

The spelling of 1253540105 in words is "one billion, two hundred fifty-three million, five hundred forty thousand, one hundred five".