513021000 has 64 divisors (see below), whose sum is σ = 1600634880. Its totient is φ = 136804800.

The previous prime is 513020971. The next prime is 513021001. The reversal of 513021000 is 120315.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (513021001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82504 + ... + 88503.

It is an arithmetic number, because the mean of its divisors is an integer number (25009920).

Almost surely, 2^513021000 is an apocalyptic number.

513021000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513021000 is an abundant number, since it is smaller than the sum of its proper divisors (1087613880).

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

513021000 is a wasteful number, since it uses less digits than its factorization.

513021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171031 (or 171017 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 513021000 is about 22649.9668873930. The cubic root of 513021000 is about 800.5314177491.

Adding to 513021000 its reverse (120315), we get a palindrome (513141315).

The spelling of 513021000 in words is "five hundred thirteen million, twenty-one thousand".