153793387225 has 27 divisors (see below), whose sum is σ = 195570791479. Its totient is φ = 119971116800.

The previous prime is 153793387213. The next prime is 153793387271. The reversal of 153793387225 is 522783397351.

It is a happy number.

The square root of 153793387225 is 392165.

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

It can be written as a sum of positive squares in 13 ways, for example, as 118840841289 + 34952545936 = 344733^2 + 186956^2 .

It is not a de Polignac number, because 153793387225 - 2⁹ = 153793386713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80392869 + ... + 80394781.

Almost surely, 2^153793387225 is an apocalyptic number.

153793387225 is the 392165-th square number.

153793387225 is the 196083-rd centered octagonal number.

It is an amenable number.

153793387225 is a deficient number, since it is larger than the sum of its proper divisors (41777404254).

153793387225 is an frugal number, since it uses more digits than its factorization.

153793387225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 1959 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 55.

The spelling of 153793387225 in words is "one hundred fifty-three billion, seven hundred ninety-three million, three hundred eighty-seven thousand, two hundred twenty-five".