420053313 has 16 divisors (see below), whose sum is σ = 581143680. Its totient is φ = 269558016.

The previous prime is 420053303. The next prime is 420053321. The reversal of 420053313 is 313350024.

It is not a de Polignac number, because 420053313 - 2¹³ = 420045121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420053313.

It is not an unprimeable number, because it can be changed into a prime (420053303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22156 + ... + 36482.

It is an arithmetic number, because the mean of its divisors is an integer number (36321480).

Almost surely, 2^420053313 is an apocalyptic number.

It is an amenable number.

420053313 is a deficient number, since it is larger than the sum of its proper divisors (161090367).

420053313 is a wasteful number, since it uses less digits than its factorization.

420053313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 420053313 is about 20495.2021946601. The cubic root of 420053313 is about 748.9189242267.

The spelling of 420053313 in words is "four hundred twenty million, fifty-three thousand, three hundred thirteen".