1513120 has 72 divisors (see below), whose sum is σ = 4179924. Its totient is φ = 516096.

The previous prime is 1513117. The next prime is 1513121. The reversal of 1513120 is 213151.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 63504 = 1204^2 + 252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1513120.

It is not an unprimeable number, because it can be changed into a prime (1513121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7744 + ... + 7936.

2^1513120 is an apocalyptic number.

1513120 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 1513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089962).

1513120 is an abundant number, since it is smaller than the sum of its proper divisors (2666804).

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

1513120 is a wasteful number, since it uses less digits than its factorization.

1513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1513120 is about 1230.0894276434. The cubic root of 1513120 is about 114.8042036930.

Adding to 1513120 its reverse (213151), we get a palindrome (1726271).

It can be divided in two parts, 15131 and 20, that added together give a palindrome (15151).

The spelling of 1513120 in words is "one million, five hundred thirteen thousand, one hundred twenty".