153000669409 has 81 divisors (see below), whose sum is σ = 200700283257. Its totient is φ = 116256930048.

The previous prime is 153000669403. The next prime is 153000669457. The reversal of 153000669409 is 904966000351.

The square root of 153000669409 is 391153.

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 74992179409 + 78008490000 = 273847^2 + 279300^2 .

It is not a de Polignac number, because 153000669409 - 2⁹ = 153000668897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153000669403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 884396847 + ... + 884397019.

Almost surely, 2^153000669409 is an apocalyptic number.

153000669409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

153000669409 is the 391153-rd square number.

153000669409 is the 195577-th centered octagonal number.

It is an amenable number.

153000669409 is a deficient number, since it is larger than the sum of its proper divisors (47699613848).

153000669409 is an equidigital number, since it uses as much as digits as its factorization.

153000669409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 153000669409 in words is "one hundred fifty-three billion, six hundred sixty-nine thousand, four hundred nine".