513139900 has 288 divisors, whose sum is σ = 1511903232. Its totient is φ = 146534400.

The previous prime is 513139877. The next prime is 513139901. The reversal of 513139900 is 9931315.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513139901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4795647 + ... + 4795753.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^513139900 is an apocalyptic number.

513139900 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 513139900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755951616).

513139900 is an abundant number, since it is smaller than the sum of its proper divisors (998763332).

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

513139900 is a wasteful number, since it uses less digits than its factorization.

513139900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 31.

The square root of 513139900 is about 22652.5914632300. The cubic root of 513139900 is about 800.5932578643.

The spelling of 513139900 in words is "five hundred thirteen million, one hundred thirty-nine thousand, nine hundred".