516165540 has 192 divisors, whose sum is σ = 1691504640. Its totient is φ = 116328960.

The previous prime is 516165499. The next prime is 516165607. The reversal of 516165540 is 45561615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561201 + ... + 562119.

It is an arithmetic number, because the mean of its divisors is an integer number (8809920).

Almost surely, 2^516165540 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 516165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845752320).

516165540 is an abundant number, since it is smaller than the sum of its proper divisors (1175339100).

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

516165540 is a wasteful number, since it uses less digits than its factorization.

516165540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 516165540 is about 22719.2768370826. The cubic root of 516165540 is about 802.1636948384.

The spelling of 516165540 in words is "five hundred sixteen million, one hundred sixty-five thousand, five hundred forty".