1052217216 has 96 divisors (see below), whose sum is σ = 3140100600. Its totient is φ = 350728704.

The previous prime is 1052217209. The next prime is 1052217217. The reversal of 1052217216 is 6127122501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1052217216² = 2214322139293581312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1052217216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052217217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14190 + ... + 48018.

Almost surely, 2^1052217216 is an apocalyptic number.

1052217216 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 1052217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570050300).

1052217216 is an abundant number, since it is smaller than the sum of its proper divisors (2087883384).

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

1052217216 is an frugal number, since it uses more digits than its factorization.

1052217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33858 (or 33834 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1052217216 is about 32437.8978357106. The cubic root of 1052217216 is about 1017.1112729686. Note that the first 3 decimals are identical.

Adding to 1052217216 its reverse (6127122501), we get a palindrome (7179339717).

The spelling of 1052217216 in words is "one billion, fifty-two million, two hundred seventeen thousand, two hundred sixteen".