1252105216 has 66 divisors (see below), whose sum is σ = 2659511528. Its totient is φ = 589086720.

The previous prime is 1252105193. The next prime is 1252105219. The reversal of 1252105216 is 6125012521.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252105219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293821 + ... + 298051.

Almost surely, 2^1252105216 is an apocalyptic number.

1252105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329755764).

1252105216 is an abundant number, since it is smaller than the sum of its proper divisors (1407406312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1252105216 is an equidigital number, since it uses as much as digits as its factorization.

1252105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1252105216 is about 35385.0987846579. The cubic root of 1252105216 is about 1077.8217458884.

Adding to 1252105216 its reverse (6125012521), we get a palindrome (7377117737).

The spelling of 1252105216 in words is "one billion, two hundred fifty-two million, one hundred five thousand, two hundred sixteen".