508279165969 has 27 divisors (see below), whose sum is σ = 542145598587. Its totient is φ = 476458648848.

The previous prime is 508279165963. The next prime is 508279165981. The reversal of 508279165969 is 969561972805.

The square root of 508279165969 is 712937.

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

It can be written as a sum of positive squares in only one way, i.e., 148984420225 + 359294745744 = 385985^2 + 599412^2 .

It is not a de Polignac number, because 508279165969 - 2¹¹ = 508279163921 is a prime.

It is a super-2 number, since 2×508279165969² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (508279165963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2126690952 + ... + 2126691190.

Almost surely, 2^508279165969 is an apocalyptic number.

508279165969 is the 712937-th square number.

508279165969 is the 356469-th centered octagonal number.

It is an amenable number.

508279165969 is a deficient number, since it is larger than the sum of its proper divisors (33866432618).

508279165969 is an frugal number, since it uses more digits than its factorization.

508279165969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 67.

The spelling of 508279165969 in words is "five hundred eight billion, two hundred seventy-nine million, one hundred sixty-five thousand, nine hundred sixty-nine".