213762013 has 2 divisors, whose sum is σ = 213762014. Its totient is φ = 213762012.

The previous prime is 213761993. The next prime is 213762049. The reversal of 213762013 is 310267312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141205689 + 72556324 = 11883^2 + 8518^2 .

It is a cyclic number.

It is not a de Polignac number, because 213762013 - 2⁵ = 213761981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213762053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106881006 + 106881007.

It is an arithmetic number, because the mean of its divisors is an integer number (106881007).

Almost surely, 2^213762013 is an apocalyptic number.

It is an amenable number.

213762013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213762013 is an equidigital number, since it uses as much as digits as its factorization.

213762013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 213762013 is about 14620.6023473727. The cubic root of 213762013 is about 597.9205915744.

The spelling of 213762013 in words is "two hundred thirteen million, seven hundred sixty-two thousand, thirteen".