510000005214 has 128 divisors (see below), whose sum is σ = 1301299507200. Its totient is φ = 145033791840.

The previous prime is 510000005213. The next prime is 510000005231. The reversal of 510000005214 is 412500000015.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510000005213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94110597 + ... + 94116015.

It is an arithmetic number, because the mean of its divisors is an integer number (10166402400).

Almost surely, 2^510000005214 is an apocalyptic number.

510000005214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 510000005214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650649753600).

510000005214 is an abundant number, since it is smaller than the sum of its proper divisors (791299501986).

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

510000005214 is a wasteful number, since it uses less digits than its factorization.

510000005214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 510000005214 its reverse (412500000015), we get a palindrome (922500005229).

The spelling of 510000005214 in words is "five hundred ten billion, five thousand, two hundred fourteen".