516906953 has 2 divisors, whose sum is σ = 516906954. Its totient is φ = 516906952.

The previous prime is 516906931. The next prime is 516906959. The reversal of 516906953 is 359609615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279993289 + 236913664 = 16733^2 + 15392^2 .

It is a cyclic number.

It is not a de Polignac number, because 516906953 - 2¹⁰ = 516905929 is a prime.

It is not a weakly prime, because it can be changed into another prime (516906959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258453476 + 258453477.

It is an arithmetic number, because the mean of its divisors is an integer number (258453477).

Almost surely, 2^516906953 is an apocalyptic number.

It is an amenable number.

516906953 is a deficient number, since it is larger than the sum of its proper divisors (1).

516906953 is an equidigital number, since it uses as much as digits as its factorization.

516906953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 218700, while the sum is 44.

The square root of 516906953 is about 22735.5878085437. The cubic root of 516906953 is about 802.5475833497.

The spelling of 516906953 in words is "five hundred sixteen million, nine hundred six thousand, nine hundred fifty-three".