673537000249 has 9 divisors (see below), whose sum is σ = 676084979629. Its totient is φ = 670998596800.

The previous prime is 673537000237. The next prime is 673537000259. The reversal of 673537000249 is 942000735376.

The square root of 673537000249 is 820693.

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 190973370025 + 482563630224 = 437005^2 + 694668^2 .

It is not a de Polignac number, because 673537000249 - 2¹³ = 673536992057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 673537000199 and 673537000208.

It is not an unprimeable number, because it can be changed into a prime (673537000259) 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, 240461649 + ... + 240464449.

Almost surely, 2^673537000249 is an apocalyptic number.

673537000249 is the 820693-rd square number.

673537000249 is the 410347-th centered octagonal number.

It is an amenable number.

673537000249 is a deficient number, since it is larger than the sum of its proper divisors (2547979380).

673537000249 is an frugal number, since it uses more digits than its factorization.

673537000249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 673537000249 in words is "six hundred seventy-three billion, five hundred thirty-seven million, two hundred forty-nine", and thus it is an aban number.