508838262241 has 3 divisors (see below), whose sum is σ = 508838975571. Its totient is φ = 508837548912.

The previous prime is 508838262239. The next prime is 508838262269. The reversal of 508838262241 is 142262838805.

It is a happy number.

The square root of 508838262241 is 713329.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 24923252641 + 483915009600 = 157871^2 + 695640^2 .

It is not a de Polignac number, because 508838262241 - 2¹ = 508838262239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (508838262281) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 356665 + ... + 1069993.

It is an arithmetic number, because the mean of its divisors is an integer number (169612991857).

Almost surely, 2^508838262241 is an apocalyptic number.

508838262241 is the 713329-th square number.

508838262241 is the 356665-th centered octagonal number.

It is an amenable number.

508838262241 is a deficient number, since it is larger than the sum of its proper divisors (713330).

508838262241 is an frugal number, since it uses more digits than its factorization.

508838262241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426658 (or 713329 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 508838262241 by its sum of digits (49), we get a square (24933074849809 = 4993303²).

The spelling of 508838262241 in words is "five hundred eight billion, eight hundred thirty-eight million, two hundred sixty-two thousand, two hundred forty-one".