161002365001 has 9 divisors (see below), whose sum is σ = 171037440391. Its totient is φ = 151525217632.

The previous prime is 161002364947. The next prime is 161002365011. The reversal of 161002365001 is 100563200161.

The square root of 161002365001 is 401251.

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., 125347862025 + 35654502976 = 354045^2 + 188824^2 .

It is not a de Polignac number, because 161002365001 - 2²¹ = 161000267849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161002365011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6809466 + ... + 6833068.

Almost surely, 2^161002365001 is an apocalyptic number.

161002365001 is the 401251-st square number.

161002365001 is the 200626-th centered octagonal number.

It is an amenable number.

161002365001 is a deficient number, since it is larger than the sum of its proper divisors (10035075390).

161002365001 is an frugal number, since it uses more digits than its factorization.

161002365001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47240 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Multiplying 161002365001 by its sum of digits (25), we get a square (4025059125025 = 2006255²).

Adding to 161002365001 its reverse (100563200161), we get a palindrome (261565565162).

The spelling of 161002365001 in words is "one hundred sixty-one billion, two million, three hundred sixty-five thousand, one".