837813013 has 2 divisors, whose sum is σ = 837813014. Its totient is φ = 837813012.

The previous prime is 837812977. The next prime is 837813071. The reversal of 837813013 is 310318738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 631114884 + 206698129 = 25122^2 + 14377^2 .

It is a cyclic number.

It is not a de Polignac number, because 837813013 - 2²¹ = 835715861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 837813013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (837813083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 418906506 + 418906507.

It is an arithmetic number, because the mean of its divisors is an integer number (418906507).

Almost surely, 2^837813013 is an apocalyptic number.

It is an amenable number.

837813013 is a deficient number, since it is larger than the sum of its proper divisors (1).

837813013 is an equidigital number, since it uses as much as digits as its factorization.

837813013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 837813013 is about 28944.9997927103. Note that the first 3 decimals coincide. The cubic root of 837813013 is about 942.7192323750.

The spelling of 837813013 in words is "eight hundred thirty-seven million, eight hundred thirteen thousand, thirteen".