1252224064 has 112 divisors (see below), whose sum is σ = 3084218368. Its totient is φ = 491194368.

The previous prime is 1252224059. The next prime is 1252224067. The reversal of 1252224064 is 4604222521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1252224067) 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, 738802 + ... + 740494.

It is an arithmetic number, because the mean of its divisors is an integer number (27537664).

Almost surely, 2^1252224064 is an apocalyptic number.

1252224064 is a gapful number since it is divisible by the number (14) 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 1252224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542109184).

1252224064 is an abundant number, since it is smaller than the sum of its proper divisors (1831994304).

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

1252224064 is a wasteful number, since it uses less digits than its factorization.

1252224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1252224064 is about 35386.7780957804. The cubic root of 1252224064 is about 1077.8558465652.

Adding to 1252224064 its reverse (4604222521), we get a palindrome (5856446585).

It can be divided in two parts, 125222 and 4064, that added together give a triangular number (129286 = T₅₀₈).

The spelling of 1252224064 in words is "one billion, two hundred fifty-two million, two hundred twenty-four thousand, sixty-four".