507851493769 has 9 divisors (see below), whose sum is σ = 510140024661. Its totient is φ = 505573193280.

The previous prime is 507851493727. The next prime is 507851493797. The reversal of 507851493769 is 967394158705.

The square root of 507851493769 is 712637.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2882079225 + 504969414544 = 53685^2 + 710612^2 .

It is not a de Polignac number, because 507851493769 - 2²⁵ = 507817939337 is a prime.

It is a super-2 number, since 2×507851493769² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 507851493769.

It is not an unprimeable number, because it can be changed into a prime (507851493269) 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, 171744039 + ... + 171746995.

Almost surely, 2^507851493769 is an apocalyptic number.

507851493769 is the 712637-th square number.

507851493769 is the 356319-th centered octagonal number.

It is an amenable number.

507851493769 is a deficient number, since it is larger than the sum of its proper divisors (2288530892).

507851493769 is an frugal number, since it uses more digits than its factorization.

507851493769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 64.

Multiplying 507851493769 by its sum of digits (64), we get a square (32502495601216 = 5701096²).

The spelling of 507851493769 in words is "five hundred seven billion, eight hundred fifty-one million, four hundred ninety-three thousand, seven hundred sixty-nine".