164431061001 has 27 divisors (see below), whose sum is σ = 252336374823. Its totient is φ = 103159454400.

The previous prime is 164431060999. The next prime is 164431061021. The reversal of 164431061001 is 100160134461.

The square root of 164431061001 is 405501.

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

164431061001 is a `hidden beast` number, since 1 + 6 + 4 + 43 + 1 + 0 + 610 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128017262025 + 36413798976 = 357795^2 + 190824^2 .

It is not a de Polignac number, because 164431061001 - 2¹ = 164431060999 is a prime.

It is a super-3 number, since 3×164431061001³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164431061021) 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, 20676576 + ... + 20684526.

Almost surely, 2^164431061001 is an apocalyptic number.

164431061001 is the 405501-st square number.

164431061001 is the 202751-st centered octagonal number.

It is an amenable number.

164431061001 is a deficient number, since it is larger than the sum of its proper divisors (87905313822).

164431061001 is an frugal number, since it uses more digits than its factorization.

164431061001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 164431061001 its reverse (100160134461), we get a palindrome (264591195462).

It can be divided in two parts, 16443 and 1061001, that added together give a square (1077444 = 1038²).

The spelling of 164431061001 in words is "one hundred sixty-four billion, four hundred thirty-one million, sixty-one thousand, one".