159380600625 has 45 divisors (see below), whose sum is σ = 287732496909. Its totient is φ = 84987018000.

The previous prime is 159380600569. The next prime is 159380600641. The reversal of 159380600625 is 526006083951.

The square root of 159380600625 is 399225.

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

159380600625 is a `hidden beast` number, since 1 + 5 + 9 + 38 + 0 + 600 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12495439089 + 146885161536 = 111783^2 + 383256^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 159380600625 - 2³⁵ = 125020862257 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29939214 + ... + 29944536.

Almost surely, 2^159380600625 is an apocalyptic number.

159380600625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159380600625 is the 399225-th square number.

159380600625 is the 199613-rd centered octagonal number.

It is an amenable number.

159380600625 is a deficient number, since it is larger than the sum of its proper divisors (128351896284).

159380600625 is an frugal number, since it uses more digits than its factorization.

159380600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 159380600625 in words is "one hundred fifty-nine billion, three hundred eighty million, six hundred thousand, six hundred twenty-five".