516320753 has 24 divisors (see below), whose sum is σ = 602046648. Its totient is φ = 439934976.

The previous prime is 516320743. The next prime is 516320759. The reversal of 516320753 is 357023615.

It can be written as a sum of positive squares in 12 ways, for example, as 8133904 + 508186849 = 2852^2 + 22543^2 .

It is not a de Polignac number, because 516320753 - 2¹² = 516316657 is a prime.

It is a super-3 number, since 3×516320753³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516320759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197825 + ... + 200417.

It is an arithmetic number, because the mean of its divisors is an integer number (25085277).

Almost surely, 2^516320753 is an apocalyptic number.

516320753 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

516320753 is a deficient number, since it is larger than the sum of its proper divisors (85725895).

516320753 is a wasteful number, since it uses less digits than its factorization.

516320753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 516320753 is about 22722.6924681033. The cubic root of 516320753 is about 802.2440913689.

The spelling of 516320753 in words is "five hundred sixteen million, three hundred twenty thousand, seven hundred fifty-three".