201952013 has 2 divisors, whose sum is σ = 201952014. Its totient is φ = 201952012.

The previous prime is 201951977. The next prime is 201952033. The reversal of 201952013 is 310259102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170119849 + 31832164 = 13043^2 + 5642^2 .

It is a cyclic number.

It is not a de Polignac number, because 201952013 - 2²⁴ = 185174797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201952013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201952033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100976006 + 100976007.

It is an arithmetic number, because the mean of its divisors is an integer number (100976007).

Almost surely, 2^201952013 is an apocalyptic number.

It is an amenable number.

201952013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201952013 is an equidigital number, since it uses as much as digits as its factorization.

201952013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 201952013 is about 14210.9821265105. The cubic root of 201952013 is about 586.6999647867.

The spelling of 201952013 in words is "two hundred one million, nine hundred fifty-two thousand, thirteen".