506261553347105 has 16 divisors (see below), whose sum is σ = 616948967793024. Its totient is φ = 398766645715200.

The previous prime is 506261553346957. The next prime is 506261553347131. The reversal of 506261553347105 is 501743355162605.

It is not a de Polignac number, because 506261553347105 - 2¹⁴ = 506261553330721 is a prime.

It is a super-2 number, since 2×506261553347105² (a number of 30 digits) contains 22 as substring.

It is a Duffinian 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, 2966928419 + ... + 2967099048.

It is an arithmetic number, because the mean of its divisors is an integer number (38559310487064).

Almost surely, 2^{506261553347105} is an apocalyptic number.

It is an amenable number.

506261553347105 is a deficient number, since it is larger than the sum of its proper divisors (110687414445919).

506261553347105 is a wasteful number, since it uses less digits than its factorization.

506261553347105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934027736.

The product of its (nonzero) digits is 11340000, while the sum is 53.

The spelling of 506261553347105 in words is "five hundred six trillion, two hundred sixty-one billion, five hundred fifty-three million, three hundred forty-seven thousand, one hundred five".