516311040 has 288 divisors, whose sum is σ = 1927074240. Its totient is φ = 118013952.

The previous prime is 516311039. The next prime is 516311051. The reversal of 516311040 is 40113615.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 516310998 and 516311016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73758717 + ... + 73758723.

It is an arithmetic number, because the mean of its divisors is an integer number (6691230).

Almost surely, 2^516311040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963537120).

516311040 is an abundant number, since it is smaller than the sum of its proper divisors (1410763200).

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

516311040 is an frugal number, since it uses more digits than its factorization.

516311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 516311040 is about 22722.4787380250. The cubic root of 516311040 is about 802.2390607455.

Adding to 516311040 its reverse (40113615), we get a palindrome (556424655).

The spelling of 516311040 in words is "five hundred sixteen million, three hundred eleven thousand, forty".