1513252000 has 96 divisors (see below), whose sum is σ = 4004202384. Its totient is φ = 558720000.

The previous prime is 1513251989. The next prime is 1513252003. The reversal of 1513252000 is 2523151.

It can be written as a sum of positive squares in 8 ways, for example, as 190329616 + 1322922384 = 13796^2 + 36372^2 .

It is not an unprimeable number, because it can be changed into a prime (1513252003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37450 + ... + 66550.

Almost surely, 2^1513252000 is an apocalyptic number.

1513252000 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 1513252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002101192).

1513252000 is an abundant number, since it is smaller than the sum of its proper divisors (2490950384).

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

1513252000 is a wasteful number, since it uses less digits than its factorization.

1513252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29139 (or 29121 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1513252000 is about 38900.5398420125. The cubic root of 1513252000 is about 1148.0754198610.

Adding to 1513252000 its reverse (2523151), we get a palindrome (1515775151).

The spelling of 1513252000 in words is "one billion, five hundred thirteen million, two hundred fifty-two thousand".