1252524105 has 24 divisors (see below), whose sum is σ = 2481191232. Its totient is φ = 572582304.

The previous prime is 1252524089. The next prime is 1252524107. The reversal of 1252524105 is 5014252521.

1252524105 = 6798² + 6799² + ... + 6824².

1252524105 is a `hidden beast` number, since 12 + 525 + 24 + 105 = 666.

It is not a de Polignac number, because 1252524105 - 2⁴ = 1252524089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1252524107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987819 + ... + 1988448.

It is an arithmetic number, because the mean of its divisors is an integer number (103382968).

Almost surely, 2^1252524105 is an apocalyptic number.

1252524105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252524105 is a deficient number, since it is larger than the sum of its proper divisors (1228667127).

1252524105 is a wasteful number, since it uses less digits than its factorization.

1252524105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976285 (or 3976282 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1252524105 is about 35391.0172925278. The cubic root of 1252524105 is about 1077.9419267722.

Adding to 1252524105 its reverse (5014252521), we get a palindrome (6266776626).

The spelling of 1252524105 in words is "one billion, two hundred fifty-two million, five hundred twenty-four thousand, one hundred five".