673509753 has 36 divisors (see below), whose sum is σ = 1147236948. Its totient is φ = 379572480.

The previous prime is 673509677. The next prime is 673509761. The reversal of 673509753 is 357905376.

673509753 is a `hidden beast` number, since 6 + 73 + 509 + 75 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 239537529 = 20832^2 + 15477^2 .

It is not a de Polignac number, because 673509753 - 2²⁰ = 672461177 is a prime.

It is a super-2 number, since 2×673509753² = 907230774772242018, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 673509699 and 673509708.

It is not an unprimeable number, because it can be changed into a prime (673509773) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21733 + ... + 42653.

It is an arithmetic number, because the mean of its divisors is an integer number (31867693).

Almost surely, 2^673509753 is an apocalyptic number.

673509753 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

673509753 is a deficient number, since it is larger than the sum of its proper divisors (473727195).

673509753 is a wasteful number, since it uses less digits than its factorization.

673509753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21014 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 673509753 is about 25952.0664495142. The cubic root of 673509753 is about 876.5592889604.

The spelling of 673509753 in words is "six hundred seventy-three million, five hundred nine thousand, seven hundred fifty-three".