1020838511 has 12 divisors (see below), whose sum is σ = 1295461800. Its totient is φ = 795458160.

The previous prime is 1020838499. The next prime is 1020838513. The reversal of 1020838511 is 1158380201.

It is a de Polignac number, because none of the positive numbers 2^k-1020838511 is a prime.

It is a super-2 number, since 2×1020838511² = 2084222531081394242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020838513) 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 11 ways as a sum of consecutive naturals, for example, 946436 + ... + 947513.

It is an arithmetic number, because the mean of its divisors is an integer number (107955150).

Almost surely, 2^1020838511 is an apocalyptic number.

1020838511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020838511 is a deficient number, since it is larger than the sum of its proper divisors (274623289).

1020838511 is a wasteful number, since it uses less digits than its factorization.

1020838511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893974 (or 1893967 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 1020838511 is about 31950.5635474556. The cubic root of 1020838511 is about 1006.8984719873.

The spelling of 1020838511 in words is "one billion, twenty million, eight hundred thirty-eight thousand, five hundred eleven".