537100313 has 2 divisors, whose sum is σ = 537100314. Its totient is φ = 537100312.

The previous prime is 537100283. The next prime is 537100331. The reversal of 537100313 is 313001735.

537100313 = 16387² + 16388².

It is a happy number.

Together with next prime (537100331) 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., 268566544 + 268533769 = 16388^2 + 16387^2 .

It is a cyclic number.

It is not a de Polignac number, because 537100313 - 2¹⁴ = 537083929 is a prime.

It is not a weakly prime, because it can be changed into another prime (537100373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268550156 + 268550157.

It is an arithmetic number, because the mean of its divisors is an integer number (268550157).

Almost surely, 2^537100313 is an apocalyptic number.

537100313 is the 16388-th centered square number.

It is an amenable number.

537100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

537100313 is an equidigital number, since it uses as much as digits as its factorization.

537100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 537100313 is about 23175.4247641764. The cubic root of 537100313 is about 812.8650827326.

The spelling of 537100313 in words is "five hundred thirty-seven million, one hundred thousand, three hundred thirteen".