516066552 has 160 divisors (see below), whose sum is σ = 1552478400. Its totient is φ = 159584256.

The previous prime is 516066539. The next prime is 516066583. The reversal of 516066552 is 255660615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869968 + ... + 870560.

It is an arithmetic number, because the mean of its divisors is an integer number (9702990).

Almost surely, 2^516066552 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 516066552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776239200).

516066552 is an abundant number, since it is smaller than the sum of its proper divisors (1036411848).

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

516066552 is a wasteful number, since it uses less digits than its factorization.

516066552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 516066552 is about 22717.0982301878. The cubic root of 516066552 is about 802.1124130627.

The spelling of 516066552 in words is "five hundred sixteen million, sixty-six thousand, five hundred fifty-two".