161256251625 has 128 divisors (see below), whose sum is σ = 324056678400. Its totient is φ = 69617433600.

The previous prime is 161256251617. The next prime is 161256251633. The reversal of 161256251625 is 526152652161.

161256251625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161256251617) and next prime (161256251633).

It is not a de Polignac number, because 161256251625 - 2³ = 161256251617 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 127 ways as a sum of consecutive naturals, for example, 4752721 + ... + 4786529.

It is an arithmetic number, because the mean of its divisors is an integer number (2531692800).

Almost surely, 2^161256251625 is an apocalyptic number.

161256251625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

161256251625 is an abundant number, since it is smaller than the sum of its proper divisors (162800426775).

161256251625 is a wasteful number, since it uses less digits than its factorization.

161256251625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33936 (or 33926 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The spelling of 161256251625 in words is "one hundred sixty-one billion, two hundred fifty-six million, two hundred fifty-one thousand, six hundred twenty-five".