253680719 has 16 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 235925760.

The previous prime is 253680709. The next prime is 253680727. The reversal of 253680719 is 917086352.

It is a cyclic number.

It is not a de Polignac number, because 253680719 - 2⁴ = 253680703 is a prime.

It is a super-2 number, since 2×253680719² = 128707814384713922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253680709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241307 + ... + 242355.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2^253680719 is an apocalyptic number.

253680719 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

253680719 is a deficient number, since it is larger than the sum of its proper divisors (18479281).

253680719 is a wasteful number, since it uses less digits than its factorization.

253680719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 253680719 is about 15927.3575648944. The cubic root of 253680719 is about 633.0370856102.

The spelling of 253680719 in words is "two hundred fifty-three million, six hundred eighty thousand, seven hundred nineteen".