516353201 has 16 divisors (see below), whose sum is σ = 636789888. Its totient is φ = 407721600.

The previous prime is 516353183. The next prime is 516353203. The reversal of 516353201 is 102353615.

516353201 = T₄₂₈ + T₄₂₉ + ... + T₁₄₆₉.

It is not a de Polignac number, because 516353201 - 2¹⁸ = 516091057 is a prime.

It is a super-3 number, since 3×516353201³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (516353203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41966 + ... + 52856.

It is an arithmetic number, because the mean of its divisors is an integer number (39799368).

Almost surely, 2^516353201 is an apocalyptic number.

It is an amenable number.

516353201 is a deficient number, since it is larger than the sum of its proper divisors (120436687).

516353201 is a wasteful number, since it uses less digits than its factorization.

516353201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 516353201 is about 22723.4064567793. The cubic root of 516353201 is about 802.2608966015.

The spelling of 516353201 in words is "five hundred sixteen million, three hundred fifty-three thousand, two hundred one".