516165552 has 120 divisors (see below), whose sum is σ = 1737864960. Its totient is φ = 139708800.

The previous prime is 516165499. The next prime is 516165607. The reversal of 516165552 is 255561615.

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

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, 5677 + ... + 32627.

It is an arithmetic number, because the mean of its divisors is an integer number (14482208).

Almost surely, 2^516165552 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 516165552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868932480).

516165552 is an abundant number, since it is smaller than the sum of its proper divisors (1221699408).

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

516165552 is a wasteful number, since it uses less digits than its factorization.

516165552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26991 (or 26982 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 516165552 is about 22719.2771011756. The cubic root of 516165552 is about 802.1637010547.

The spelling of 516165552 in words is "five hundred sixteen million, one hundred sixty-five thousand, five hundred fifty-two".