172932505201 has 2 divisors, whose sum is σ = 172932505202. Its totient is φ = 172932505200.

The previous prime is 172932505153. The next prime is 172932505217. The reversal of 172932505201 is 102505239271.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150795528976 + 22136976225 = 388324^2 + 148785^2 .

It is a cyclic number.

It is not a de Polignac number, because 172932505201 - 2¹³ = 172932497009 is a prime.

It is not a weakly prime, because it can be changed into another prime (172932505231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86466252600 + 86466252601.

It is an arithmetic number, because the mean of its divisors is an integer number (86466252601).

Almost surely, 2^172932505201 is an apocalyptic number.

It is an amenable number.

172932505201 is a deficient number, since it is larger than the sum of its proper divisors (1).

172932505201 is an equidigital number, since it uses as much as digits as its factorization.

172932505201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 172932505201 in words is "one hundred seventy-two billion, nine hundred thirty-two million, five hundred five thousand, two hundred one".