161804258001 has 27 divisors (see below), whose sum is σ = 246700544571. Its totient is φ = 102177681984.

The previous prime is 161804257991. The next prime is 161804258023. The reversal of 161804258001 is 100852408161.

The square root of 161804258001 is 402249.

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

It can be written as a sum of positive squares in only one way, i.e., 161712558225 + 91699776 = 402135^2 + 9576^2 .

It is not a de Polignac number, because 161804258001 - 2²⁹ = 161267387089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (161804258041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22924665 + ... + 22931721.

Almost surely, 2^161804258001 is an apocalyptic number.

161804258001 is the 402249-th square number.

161804258001 is the 201125-th centered octagonal number.

It is an amenable number.

161804258001 is a deficient number, since it is larger than the sum of its proper divisors (84896286570).

161804258001 is an frugal number, since it uses more digits than its factorization.

161804258001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14158 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 161804258001 by its sum of digits (36), we get a square (5824953288036 = 2413494²).

The spelling of 161804258001 in words is "one hundred sixty-one billion, eight hundred four million, two hundred fifty-eight thousand, one".