509212921201 has 2 divisors, whose sum is σ = 509212921202. Its totient is φ = 509212921200.

The previous prime is 509212921177. The next prime is 509212921211. The reversal of 509212921201 is 102129212905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 504349950976 + 4862970225 = 710176^2 + 69735^2 .

It is a cyclic number.

It is not a de Polignac number, because 509212921201 - 2⁵ = 509212921169 is a prime.

It is not a weakly prime, because it can be changed into another prime (509212921211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254606460600 + 254606460601.

It is an arithmetic number, because the mean of its divisors is an integer number (254606460601).

Almost surely, 2^509212921201 is an apocalyptic number.

It is an amenable number.

509212921201 is a deficient number, since it is larger than the sum of its proper divisors (1).

509212921201 is an equidigital number, since it uses as much as digits as its factorization.

509212921201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 509212921201 in words is "five hundred nine billion, two hundred twelve million, nine hundred twenty-one thousand, two hundred one".