420624513 has 12 divisors (see below), whose sum is σ = 608946000. Its totient is φ = 279780696.

The previous prime is 420624493. The next prime is 420624541. The reversal of 420624513 is 315426024.

420624513 is a `hidden beast` number, since 4 + 20 + 624 + 5 + 13 = 666.

It is not a de Polignac number, because 420624513 - 2¹⁷ = 420493441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420644513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48763 + ... + 56736.

It is an arithmetic number, because the mean of its divisors is an integer number (50745500).

Almost surely, 2^420624513 is an apocalyptic number.

It is an amenable number.

420624513 is a deficient number, since it is larger than the sum of its proper divisors (188321487).

420624513 is a wasteful number, since it uses less digits than its factorization.

420624513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105948 (or 105945 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420624513 is about 20509.1324292375. The cubic root of 420624513 is about 749.2582372926.

The spelling of 420624513 in words is "four hundred twenty million, six hundred twenty-four thousand, five hundred thirteen".