1020268413 has 32 divisors (see below), whose sum is σ = 1603324800. Its totient is φ = 639007488.

The previous prime is 1020268397. The next prime is 1020268421. The reversal of 1020268413 is 3148620201.

It is not a de Polignac number, because 1020268413 - 2⁴ = 1020268397 is a prime.

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 (1020258413) 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 31 ways as a sum of consecutive naturals, for example, 300795 + ... + 304167.

It is an arithmetic number, because the mean of its divisors is an integer number (50103900).

Almost surely, 2^1020268413 is an apocalyptic number.

It is an amenable number.

1020268413 is a deficient number, since it is larger than the sum of its proper divisors (583056387).

1020268413 is a wasteful number, since it uses less digits than its factorization.

1020268413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1020268413 is about 31941.6407374449. The cubic root of 1020268413 is about 1006.7109994047.

Adding to 1020268413 its reverse (3148620201), we get a palindrome (4168888614).

The spelling of 1020268413 in words is "one billion, twenty million, two hundred sixty-eight thousand, four hundred thirteen".