516540000 has 120 divisors (see below), whose sum is σ = 1694551320. Its totient is φ = 137728000.

The previous prime is 516539993. The next prime is 516540007. The reversal of 516540000 is 45615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (516539993) and next prime (516540007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516540007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55696 + ... + 64304.

It is an arithmetic number, because the mean of its divisors is an integer number (14121261).

Almost surely, 2^516540000 is an apocalyptic number.

516540000 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 516540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847275660).

516540000 is an abundant number, since it is smaller than the sum of its proper divisors (1178011320).

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

516540000 is an equidigital number, since it uses as much as digits as its factorization.

516540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 516540000 is about 22727.5163623305. The cubic root of 516540000 is about 802.3576284928.

Adding to 516540000 its reverse (45615), we get a palindrome (516585615).

The spelling of 516540000 in words is "five hundred sixteen million, five hundred forty thousand".