153903213025 has 27 divisors (see below), whose sum is σ = 197272640019. Its totient is φ = 119103798000.

The previous prime is 153903213017. The next prime is 153903213031. The reversal of 153903213025 is 520312309351.

The square root of 153903213025 is 392305.

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

153903213025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55405156689 + 98498056336 = 235383^2 + 313844^2 .

It is not a de Polignac number, because 153903213025 - 2³ = 153903213017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60806010 + ... + 60808540.

Almost surely, 2^153903213025 is an apocalyptic number.

153903213025 is the 392305-th square number.

153903213025 is the 196153-rd centered octagonal number.

It is an amenable number.

153903213025 is a deficient number, since it is larger than the sum of its proper divisors (43369426994).

153903213025 is an frugal number, since it uses more digits than its factorization.

153903213025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The spelling of 153903213025 in words is "one hundred fifty-three billion, nine hundred three million, two hundred thirteen thousand, twenty-five".