488435013 has 36 divisors (see below), whose sum is σ = 778153740. Its totient is φ = 295004160.

The previous prime is 488434993. The next prime is 488435021. The reversal of 488435013 is 310534884.

It can be written as a sum of positive squares in 2 ways, for example, as 251952129 + 236482884 = 15873^2 + 15378^2 .

It is not a de Polignac number, because 488435013 - 2¹⁰ = 488433989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488435053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 423045 + ... + 424197.

Almost surely, 2^488435013 is an apocalyptic number.

It is an amenable number.

488435013 is a deficient number, since it is larger than the sum of its proper divisors (289718727).

488435013 is a wasteful number, since it uses less digits than its factorization.

488435013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 488435013 is about 22100.5658977321. The cubic root of 488435013 is about 787.5333053186.

Adding to 488435013 its reverse (310534884), we get a palindrome (798969897).

The spelling of 488435013 in words is "four hundred eighty-eight million, four hundred thirty-five thousand, thirteen".