518267953 has 12 divisors (see below), whose sum is σ = 611146020. Its totient is φ = 438141312.

The previous prime is 518267927. The next prime is 518267987. The reversal of 518267953 is 359762815.

It can be written as a sum of positive squares in 2 ways, for example, as 330221584 + 188046369 = 18172^2 + 13713^2 .

It is not a de Polignac number, because 518267953 - 2¹³ = 518259761 is a prime.

It is a super-2 number, since 2×518267953² = 537203342213620418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (518267923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68868 + ... + 76021.

It is an arithmetic number, because the mean of its divisors is an integer number (50928835).

Almost surely, 2^518267953 is an apocalyptic number.

It is an amenable number.

518267953 is a deficient number, since it is larger than the sum of its proper divisors (92878067).

518267953 is a wasteful number, since it uses less digits than its factorization.

518267953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144976 (or 144969 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 518267953 is about 22765.4991818761. The cubic root of 518267953 is about 803.2513270436.

The spelling of 518267953 in words is "five hundred eighteen million, two hundred sixty-seven thousand, nine hundred fifty-three".