516053280 has 192 divisors, whose sum is σ = 1703116800. Its totient is φ = 131189760.

The previous prime is 516053269. The next prime is 516053287. The reversal of 516053280 is 82350615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (516053287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175301 + ... + 1175739.

It is an arithmetic number, because the mean of its divisors is an integer number (8870400).

Almost surely, 2^516053280 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 516053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851558400).

516053280 is an abundant number, since it is smaller than the sum of its proper divisors (1187063520).

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

516053280 is a wasteful number, since it uses less digits than its factorization.

516053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 516053280 is about 22716.8061135363. The cubic root of 516053280 is about 802.1055368648.

The spelling of 516053280 in words is "five hundred sixteen million, fifty-three thousand, two hundred eighty".