752413 has 2 divisors, whose sum is σ = 752414. Its totient is φ = 752412.

The previous prime is 752383. The next prime is 752431. The reversal of 752413 is 314257.

Together with next prime (752431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 675684 + 76729 = 822^2 + 277^2 .

It is an emirp because it is prime and its reverse (314257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752413 - 2⁹ = 751901 is a prime.

It is a super-2 number, since 2×752413² = 1132250645138, which contains 22 as substring.

752413 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (752483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376206 + 376207.

It is an arithmetic number, because the mean of its divisors is an integer number (376207).

2⁷⁵²⁴¹³ is an apocalyptic number.

It is an amenable number.

752413 is a deficient number, since it is larger than the sum of its proper divisors (1).

752413 is an equidigital number, since it uses as much as digits as its factorization.

752413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 752413 is about 867.4174312290. The cubic root of 752413 is about 90.9533633753.

The spelling of 752413 in words is "seven hundred fifty-two thousand, four hundred thirteen".