1008420813 has 16 divisors (see below), whose sum is σ = 1496499840. Its totient is φ = 671136192.

The previous prime is 1008420797. The next prime is 1008420883. The reversal of 1008420813 is 3180248001.

It is not a de Polignac number, because 1008420813 - 2⁴ = 1008420797 is a prime.

It is a super-4 number, since 4×1008420813⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008420883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15481 + ... + 47502.

It is an arithmetic number, because the mean of its divisors is an integer number (93531240).

Almost surely, 2^1008420813 is an apocalyptic number.

It is an amenable number.

1008420813 is a deficient number, since it is larger than the sum of its proper divisors (488079027).

1008420813 is an equidigital number, since it uses as much as digits as its factorization.

1008420813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63585 (or 63579 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1008420813 is about 31755.6422230759. The cubic root of 1008420813 is about 1002.7990954212.

Adding to 1008420813 its reverse (3180248001), we get a palindrome (4188668814).

It can be divided in two parts, 1008 and 420813, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 1008420813 in words is "one billion, eight million, four hundred twenty thousand, eight hundred thirteen".