1013276224 has 63 divisors (see below), whose sum is σ = 2114163793. Its totient is φ = 481809152.

The previous prime is 1013276171. The next prime is 1013276353. The reversal of 1013276224 is 4226723101.

The square root of 1013276224 is 31832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 921729600 + 91546624 = 30360^2 + 9568^2 .

It is a super-2 number, since 2×1013276224² = 2053457412247396352, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013276192 and 1013276201.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5857002 + ... + 5857174.

Almost surely, 2^1013276224 is an apocalyptic number.

1013276224 is the 31832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013276224

1013276224 is an abundant number, since it is smaller than the sum of its proper divisors (1100887569).

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

1013276224 is an frugal number, since it uses more digits than its factorization.

1013276224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The cubic root of 1013276224 is about 1004.4059669449.

Adding to 1013276224 its reverse (4226723101), we get a palindrome (5239999325).

The spelling of 1013276224 in words is "one billion, thirteen million, two hundred seventy-six thousand, two hundred twenty-four".