513135000 has 400 divisors, whose sum is σ = 2063901840. Its totient is φ = 116640000.

The previous prime is 513134969. The next prime is 513135001. The reversal of 513135000 is 531315.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513135001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2834910 + ... + 2835090.

Almost surely, 2^513135000 is an apocalyptic number.

513135000 is a gapful number since it is divisible by the number (50) 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 513135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031950920).

513135000 is an abundant number, since it is smaller than the sum of its proper divisors (1550766840).

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

513135000 is a wasteful number, since it uses less digits than its factorization.

513135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 513135000 is about 22652.4833075758. The cubic root of 513135000 is about 800.5907095538.

Adding to 513135000 its reverse (531315), we get a palindrome (513666315).

The spelling of 513135000 in words is "five hundred thirteen million, one hundred thirty-five thousand".