159956003025 has 243 divisors, whose sum is σ = 362118726099. Its totient is φ = 67267549440.

The previous prime is 159956003017. The next prime is 159956003027. The reversal of 159956003025 is 520300659951.

The square root of 159956003025 is 399945.

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

159956003025 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 5 + 600 + 30 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 76991265729 + 82964737296 = 277473^2 + 288036^2 .

It is not a de Polignac number, because 159956003025 - 2³ = 159956003017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (159956003027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 545924779 + ... + 545925071.

Almost surely, 2^159956003025 is an apocalyptic number.

159956003025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159956003025 is the 399945-th square number.

159956003025 is the 199973-rd centered octagonal number.

It is an amenable number.

159956003025 is an abundant number, since it is smaller than the sum of its proper divisors (202162723074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159956003025 is a wasteful number, since it uses less digits than its factorization.

159956003025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 159956003025 in words is "one hundred fifty-nine billion, nine hundred fifty-six million, three thousand, twenty-five".