508082414401 has 9 divisors (see below), whose sum is σ = 511335537699. Its totient is φ = 504849870936.

The previous prime is 508082414383. The next prime is 508082414419. The reversal of 508082414401 is 104414280805.

The square root of 508082414401 is 712799.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (508082414383) and next prime (508082414419).

It can be written as a sum of positive squares in only one way, i.e., 291972719025 + 216109695376 = 540345^2 + 464876^2 .

It is not a de Polignac number, because 508082414401 - 2¹¹ = 508082412353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (508082414461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116184051 + ... + 116188423.

Almost surely, 2^508082414401 is an apocalyptic number.

508082414401 is the 712799-th square number.

508082414401 is the 356400-th centered octagonal number.

It is an amenable number.

508082414401 is a deficient number, since it is larger than the sum of its proper divisors (3253123298).

508082414401 is an frugal number, since it uses more digits than its factorization.

508082414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 508082414401 in words is "five hundred eight billion, eighty-two million, four hundred fourteen thousand, four hundred one".