1352457216 has 176 divisors, whose sum is σ = 4370426880. Its totient is φ = 409743360.

The previous prime is 1352457193. The next prime is 1352457217. The reversal of 1352457216 is 6127542531.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×1352457216² = 3658281042220941312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352457217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301905 + ... + 306351.

Almost surely, 2^1352457216 is an apocalyptic number.

1352457216 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 1352457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185213440).

1352457216 is an abundant number, since it is smaller than the sum of its proper divisors (3017969664).

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

1352457216 is a wasteful number, since it uses less digits than its factorization.

1352457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4463 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1352457216 is about 36775.7694141129. The cubic root of 1352457216 is about 1105.8795958425.

Adding to 1352457216 its reverse (6127542531), we get a palindrome (7479999747).

The spelling of 1352457216 in words is "one billion, three hundred fifty-two million, four hundred fifty-seven thousand, two hundred sixteen".