516048952524 has 144 divisors (see below), whose sum is σ = 1467472204800. Its totient is φ = 140556366720.

The previous prime is 516048952501. The next prime is 516048952547. The reversal of 516048952524 is 425259840615.

It is an interprime number because it is at equal distance from previous prime (516048952501) and next prime (516048952547).

It is a super-2 number, since 2×516048952524² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010002 + ... + 1432550.

It is an arithmetic number, because the mean of its divisors is an integer number (10190779200).

Almost surely, 2^516048952524 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 516048952524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733736102400).

516048952524 is an abundant number, since it is smaller than the sum of its proper divisors (951423252276).

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

516048952524 is a wasteful number, since it uses less digits than its factorization.

516048952524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422668 (or 422659 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 516048952524 in words is "five hundred sixteen billion, forty-eight million, nine hundred fifty-two thousand, five hundred twenty-four".