705472013 has 2 divisors, whose sum is σ = 705472014. Its totient is φ = 705472012.

The previous prime is 705472003. The next prime is 705472039. The reversal of 705472013 is 310274507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 600348004 + 105124009 = 24502^2 + 10253^2 .

It is an emirp because it is prime and its reverse (310274507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705472013 - 2¹⁴ = 705455629 is a prime.

It is a super-2 number, since 2×705472013² = 995381522252544338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705472003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352736006 + 352736007.

It is an arithmetic number, because the mean of its divisors is an integer number (352736007).

Almost surely, 2^705472013 is an apocalyptic number.

It is an amenable number.

705472013 is a deficient number, since it is larger than the sum of its proper divisors (1).

705472013 is an equidigital number, since it uses as much as digits as its factorization.

705472013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 705472013 is about 26560.7231264512. The cubic root of 705472013 is about 890.2116287548.

The spelling of 705472013 in words is "seven hundred five million, four hundred seventy-two thousand, thirteen".