1021533040 has 160 divisors (see below), whose sum is σ = 2771822592. Its totient is φ = 346368000.

The previous prime is 1021532977. The next prime is 1021533053. The reversal of 1021533040 is 403351201.

It is a junction number, because it is equal to n+sod(n) for n = 1021532999 and 1021533017.

It is a congruent number.

It is an unprimeable number.

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, 829225 + ... + 830455.

Almost surely, 2^1021533040 is an apocalyptic number.

1021533040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385911296).

1021533040 is an abundant number, since it is smaller than the sum of its proper divisors (1750289552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021533040 is a wasteful number, since it uses less digits than its factorization.

1021533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1021533040 is about 31961.4305061585. The cubic root of 1021533040 is about 1007.1267685124.

Adding to 1021533040 its reverse (403351201), we get a palindrome (1424884241).

It can be divided in two parts, 1021 and 533040, that added together give a triangular number (534061 = T₁₀₃₃).

The spelling of 1021533040 in words is "one billion, twenty-one million, five hundred thirty-three thousand, forty".