153268335025 has 81 divisors (see below), whose sum is σ = 217885560291. Its totient is φ = 106887530880.

The previous prime is 153268335007. The next prime is 153268335083. The reversal of 153268335025 is 520533862351.

The square root of 153268335025 is 391495.

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 140427819169 + 12840515856 = 374737^2 + 113316^2 .

It is not a de Polignac number, because 153268335025 - 2⁷ = 153268334897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 483496167 + ... + 483496483.

Almost surely, 2^153268335025 is an apocalyptic number.

153268335025 is the 391495-th square number.

153268335025 is the 195748-th centered octagonal number.

It is an amenable number.

153268335025 is a deficient number, since it is larger than the sum of its proper divisors (64617225266).

153268335025 is an equidigital number, since it uses as much as digits as its factorization.

153268335025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 153268335025 in words is "one hundred fifty-three billion, two hundred sixty-eight million, three hundred thirty-five thousand, twenty-five".