162007055001 has 27 divisors (see below), whose sum is σ = 257238903103. Its totient is φ = 98178043920.

The previous prime is 162007054967. The next prime is 162007055003. The reversal of 162007055001 is 100550700261.

The square root of 162007055001 is 402501.

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., 114971855625 + 47035199376 = 339075^2 + 216876^2 .

It is not a de Polignac number, because 162007055001 - 2¹⁷ = 162006923929 is a prime.

It is a super-2 number, since 2×162007055001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (162007055003) 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, 13276435 + ... + 13288631.

Almost surely, 2^162007055001 is an apocalyptic number.

162007055001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

162007055001 is the 402501-st square number.

162007055001 is the 201251-st centered octagonal number.

It is an amenable number.

162007055001 is a deficient number, since it is larger than the sum of its proper divisors (95231848102).

162007055001 is an frugal number, since it uses more digits than its factorization.

162007055001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24422 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 162007055001 its reverse (100550700261), we get a palindrome (262557755262).

The spelling of 162007055001 in words is "one hundred sixty-two billion, seven million, fifty-five thousand, one".