437500013 has 2 divisors, whose sum is σ = 437500014. Its totient is φ = 437500012.

The previous prime is 437499989. The next prime is 437500057. The reversal of 437500013 is 310005734.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 429194089 + 8305924 = 20717^2 + 2882^2 .

It is a cyclic number.

It is not a de Polignac number, because 437500013 - 2¹⁸ = 437237869 is a prime.

It is a super-2 number, since 2×437500013² = 382812522750000338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (437500093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 218750006 + 218750007.

It is an arithmetic number, because the mean of its divisors is an integer number (218750007).

Almost surely, 2^437500013 is an apocalyptic number.

It is an amenable number.

437500013 is a deficient number, since it is larger than the sum of its proper divisors (1).

437500013 is an equidigital number, since it uses as much as digits as its factorization.

437500013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 437500013 is about 20916.5009741113. The cubic root of 437500013 is about 759.1472504881.

Adding to 437500013 its reverse (310005734), we get a palindrome (747505747).

The spelling of 437500013 in words is "four hundred thirty-seven million, five hundred thousand, thirteen".