516993472801 has 64 divisors (see below), whose sum is σ = 625844620800. Its totient is φ = 421891670016.

The previous prime is 516993472739. The next prime is 516993472847. The reversal of 516993472801 is 108274399615.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 516993472801 - 2⁷ = 516993472673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516993472861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290935225 + ... + 290937001.

It is an arithmetic number, because the mean of its divisors is an integer number (9778822200).

It is a 1-persistent number, because it is pandigital, but 2⋅516993472801 = 1033986945602 is not.

Almost surely, 2^516993472801 is an apocalyptic number.

It is an amenable number.

516993472801 is a deficient number, since it is larger than the sum of its proper divisors (108851147999).

516993472801 is a wasteful number, since it uses less digits than its factorization.

516993472801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 516993472801 in words is "five hundred sixteen billion, nine hundred ninety-three million, four hundred seventy-two thousand, eight hundred one".