1513222120 has 64 divisors (see below), whose sum is σ = 3472434000. Its totient is φ = 593326080.

The previous prime is 1513222103. The next prime is 1513222157. The reversal of 1513222120 is 212223151.

It can be written as a sum of positive squares in 8 ways, for example, as 396726724 + 1116495396 = 19918^2 + 33414^2 .

It is a super-3 number, since 3×1513222120³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850672 + ... + 852448.

Almost surely, 2^1513222120 is an apocalyptic number.

1513222120 is a gapful number since it is divisible by the number (10) 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 1513222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736217000).

1513222120 is an abundant number, since it is smaller than the sum of its proper divisors (1959211880).

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

1513222120 is a wasteful number, since it uses less digits than its factorization.

1513222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1513222120 is about 38900.1557837498. The cubic root of 1513222120 is about 1148.0678633493.

Adding to 1513222120 its reverse (212223151), we get a palindrome (1725445271).

The spelling of 1513222120 in words is "one billion, five hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".