253072673 has 16 divisors (see below), whose sum is σ = 296626176. Its totient is φ = 211392720.

The previous prime is 253072669. The next prime is 253072679. The reversal of 253072673 is 376270352.

It is not a de Polignac number, because 253072673 - 2² = 253072669 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253072679) 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 15 ways as a sum of consecutive naturals, for example, 204968 + ... + 206198.

It is an arithmetic number, because the mean of its divisors is an integer number (18539136).

Almost surely, 2^253072673 is an apocalyptic number.

It is an amenable number.

253072673 is a deficient number, since it is larger than the sum of its proper divisors (43553503).

253072673 is a wasteful number, since it uses less digits than its factorization.

253072673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964.

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 253072673 is about 15908.2580127429. The cubic root of 253072673 is about 632.5309065391.

The spelling of 253072673 in words is "two hundred fifty-three million, seventy-two thousand, six hundred seventy-three".