537600013 has 2 divisors, whose sum is σ = 537600014. Its totient is φ = 537600012.

The previous prime is 537599989. The next prime is 537600023. The reversal of 537600013 is 310006735.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 519976809 + 17623204 = 22803^2 + 4198^2 .

It is a cyclic number.

It is not a de Polignac number, because 537600013 - 2⁹ = 537599501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (537600023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268800006 + 268800007.

It is an arithmetic number, because the mean of its divisors is an integer number (268800007).

Almost surely, 2^537600013 is an apocalyptic number.

It is an amenable number.

537600013 is a deficient number, since it is larger than the sum of its proper divisors (1).

537600013 is an equidigital number, since it uses as much as digits as its factorization.

537600013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 537600013 is about 23186.2030742422. The cubic root of 537600013 is about 813.1170920060.

Adding to 537600013 its reverse (310006735), we get a palindrome (847606748).

The spelling of 537600013 in words is "five hundred thirty-seven million, six hundred thousand, thirteen".