1513210000 has 75 divisors (see below), whose sum is σ = 3673075021. Its totient is φ = 603728000.

The previous prime is 1513209959. The next prime is 1513210019. The reversal of 1513210000 is 123151.

The square root of 1513210000 is 38900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1438836624 + 74373376 = 37932^2 + 8624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3889806 + ... + 3890194.

Almost surely, 2^1513210000 is an apocalyptic number.

1513210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1513210000 is the 38900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513210000

1513210000 is an abundant number, since it is smaller than the sum of its proper divisors (2159865021).

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

1513210000 is an frugal number, since it uses more digits than its factorization.

1513210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 396 counting only the distinct ones).

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

The cubic root of 1513210000 is about 1148.0647982299.

Adding to 1513210000 its reverse (123151), we get a palindrome (1513333151).

The spelling of 1513210000 in words is "one billion, five hundred thirteen million, two hundred ten thousand".