516581641 has 2 divisors, whose sum is σ = 516581642. Its totient is φ = 516581640.

The previous prime is 516581617. The next prime is 516581651. The reversal of 516581641 is 146185615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462250000 + 54331641 = 21500^2 + 7371^2 .

It is a cyclic number.

It is not a de Polignac number, because 516581641 - 2⁵ = 516581609 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516581641.

It is not a weakly prime, because it can be changed into another prime (516581651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258290820 + 258290821.

It is an arithmetic number, because the mean of its divisors is an integer number (258290821).

Almost surely, 2^516581641 is an apocalyptic number.

It is an amenable number.

516581641 is a deficient number, since it is larger than the sum of its proper divisors (1).

516581641 is an equidigital number, since it uses as much as digits as its factorization.

516581641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28800, while the sum is 37.

The square root of 516581641 is about 22728.4324360480. The cubic root of 516581641 is about 802.3791886665.

The spelling of 516581641 in words is "five hundred sixteen million, five hundred eighty-one thousand, six hundred forty-one".