782532313 has 2 divisors, whose sum is σ = 782532314. Its totient is φ = 782532312.

The previous prime is 782532307. The next prime is 782532319. The reversal of 782532313 is 313235287.

It is a balanced prime because it is at equal distance from previous prime (782532307) and next prime (782532319).

It can be written as a sum of positive squares in only one way, i.e., 599417289 + 183115024 = 24483^2 + 13532^2 .

It is an emirp because it is prime and its reverse (313235287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 782532313 - 2¹³ = 782524121 is a prime.

It is a super-2 number, since 2×782532313² = 1224713641778259938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (782532319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391266156 + 391266157.

It is an arithmetic number, because the mean of its divisors is an integer number (391266157).

Almost surely, 2^782532313 is an apocalyptic number.

It is an amenable number.

782532313 is a deficient number, since it is larger than the sum of its proper divisors (1).

782532313 is an equidigital number, since it uses as much as digits as its factorization.

782532313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 34.

The square root of 782532313 is about 27973.7790260808. The cubic root of 782532313 is about 921.5115012411.

The spelling of 782532313 in words is "seven hundred eighty-two million, five hundred thirty-two thousand, three hundred thirteen".