506416101614605 has 16 divisors (see below), whose sum is σ = 747937627000704. Its totient is φ = 320544697285440.

The previous prime is 506416101614537. The next prime is 506416101614617.

It is a happy number.

506416101614605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506416101614605 - 2²³ = 506416093225997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556501210111 + ... + 556501211020.

It is an arithmetic number, because the mean of its divisors is an integer number (46746101687544).

Almost surely, 2^{506416101614605} is an apocalyptic number.

It is an amenable number.

506416101614605 is a deficient number, since it is larger than the sum of its proper divisors (241521525386099).

506416101614605 is a wasteful number, since it uses less digits than its factorization.

506416101614605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113002421156.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 506416101614605 in words is "five hundred six trillion, four hundred sixteen billion, one hundred one million, six hundred fourteen thousand, six hundred five".