372505313 has 2 divisors, whose sum is σ = 372505314. Its totient is φ = 372505312.

The previous prime is 372505297. The next prime is 372505321. The reversal of 372505313 is 313505273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 371448529 + 1056784 = 19273^2 + 1028^2 .

It is an emirp because it is prime and its reverse (313505273) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 372505313 - 2⁴ = 372505297 is a prime.

It is not a weakly prime, because it can be changed into another prime (372505333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 186252656 + 186252657.

It is an arithmetic number, because the mean of its divisors is an integer number (186252657).

Almost surely, 2^372505313 is an apocalyptic number.

It is an amenable number.

372505313 is a deficient number, since it is larger than the sum of its proper divisors (1).

372505313 is an equidigital number, since it uses as much as digits as its factorization.

372505313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 372505313 is about 19300.3967057675. The cubic root of 372505313 is about 719.5221321093.

The spelling of 372505313 in words is "three hundred seventy-two million, five hundred five thousand, three hundred thirteen".