253669329 has 9 divisors (see below), whose sum is σ = 366480283. Its totient is φ = 169081032.

The previous prime is 253669319. The next prime is 253669349. The reversal of 253669329 is 923966352.

The square root of 253669329 is 15927.

It is a perfect power (a square), and thus also a powerful number.

253669329 is a `hidden beast` number, since 2 + 536 + 6 + 93 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 859329 + 252810000 = 927^2 + 15900^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 253669329 - 2¹⁹ = 253145041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (253669309) 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, 45127 + ... + 50435.

Almost surely, 2^253669329 is an apocalyptic number.

253669329 is the 15927-th square number.

253669329 is the 7964-th centered octagonal number.

It is an amenable number.

253669329 is a deficient number, since it is larger than the sum of its proper divisors (112810954).

253669329 is an frugal number, since it uses more digits than its factorization.

253669329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624 (or 5312 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The cubic root of 253669329 is about 633.0276112332.

The spelling of 253669329 in words is "two hundred fifty-three million, six hundred sixty-nine thousand, three hundred twenty-nine".