1513000 has 64 divisors (see below), whose sum is σ = 3790800. Its totient is φ = 563200.

The previous prime is 1512961. The next prime is 1513013. The reversal of 1513000 is 3151.

It can be written as a sum of positive squares in 8 ways, for example, as 39204 + 1473796 = 198^2 + 1214^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 16956 + ... + 17044.

2^1513000 is an apocalyptic number.

1513000 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 1513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895400).

1513000 is an abundant number, since it is smaller than the sum of its proper divisors (2277800).

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

1513000 is a wasteful number, since it uses less digits than its factorization.

1513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1513000 is about 1230.0406497348. The cubic root of 1513000 is about 114.8011687126.

Adding to 1513000 its reverse (3151), we get a palindrome (1516151).

It can be divided in two parts, 15 and 13000, that multiplied together give a triangular number (195000 = T₆₂₄).

The spelling of 1513000 in words is "one million, five hundred thirteen thousand".