506477465436261 has 64 divisors (see below), whose sum is σ = 751924560715776. Its totient is φ = 300630969849600.

The previous prime is 506477465436223. The next prime is 506477465436301. The reversal of 506477465436261 is 162634564774605.

It is not a de Polignac number, because 506477465436261 - 2¹⁰ = 506477465435237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506477465436192 and 506477465436201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506477465436221) 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, 4133537580 + ... + 4133660106.

It is an arithmetic number, because the mean of its divisors is an integer number (11748821261184).

Almost surely, 2^{506477465436261} is an apocalyptic number.

It is an amenable number.

506477465436261 is a deficient number, since it is larger than the sum of its proper divisors (245447095279515).

506477465436261 is a wasteful number, since it uses less digits than its factorization.

506477465436261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126762.

The product of its (nonzero) digits is 609638400, while the sum is 66.

The spelling of 506477465436261 in words is "five hundred six trillion, four hundred seventy-seven billion, four hundred sixty-five million, four hundred thirty-six thousand, two hundred sixty-one".