1513008 has 120 divisors (see below), whose sum is σ = 5158400. Its totient is φ = 404352.

The previous prime is 1512961. The next prime is 1513013. The reversal of 1513008 is 8003151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19113 + ... + 19191.

2^1513008 is an apocalyptic number.

1513008 is a gapful number since it is divisible by the number (18) 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 1513008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579200).

1513008 is an abundant number, since it is smaller than the sum of its proper divisors (3645392).

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

1513008 is a wasteful number, since it uses less digits than its factorization.

1513008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1513008 is about 1230.0439016555. The cubic root of 1513008 is about 114.8013710496.

Adding to 1513008 its reverse (8003151), we get a palindrome (9516159).

The spelling of 1513008 in words is "one million, five hundred thirteen thousand, eight".