516001761 has 12 divisors (see below), whose sum is σ = 813093840. Its totient is φ = 312728280.

The previous prime is 516001747. The next prime is 516001771. The reversal of 516001761 is 167100615.

516001761 is a `hidden beast` number, since 51 + 600 + 1 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 516001761 - 2¹¹ = 515999713 is a prime.

It is a super-2 number, since 2×516001761² = 532515634710202242, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (516001721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2605971 + ... + 2606168.

It is an arithmetic number, because the mean of its divisors is an integer number (67757820).

Almost surely, 2^516001761 is an apocalyptic number.

It is an amenable number.

516001761 is a deficient number, since it is larger than the sum of its proper divisors (297092079).

516001761 is a wasteful number, since it uses less digits than its factorization.

516001761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212156 (or 5212153 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 516001761 is about 22715.6721450192. The cubic root of 516001761 is about 802.0788438520.

It can be divided in two parts, 5160017 and 61, that added together give a triangular number (5160078 = T₃₂₁₂).

The spelling of 516001761 in words is "five hundred sixteen million, one thousand, seven hundred sixty-one".