1012041520 has 80 divisors (see below), whose sum is σ = 2698095168. Its totient is φ = 345830400.

The previous prime is 1012041497. The next prime is 1012041521. The reversal of 1012041520 is 251402101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1012041494 and 1012041503.

It is not an unprimeable number, because it can be changed into a prime (1012041521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174670 + ... + 180370.

Almost surely, 2^1012041520 is an apocalyptic number.

1012041520 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 1012041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349047584).

1012041520 is an abundant number, since it is smaller than the sum of its proper divisors (1686053648).

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

1012041520 is a wasteful number, since it uses less digits than its factorization.

1012041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1012041520 is about 31812.6000194891. The cubic root of 1012041520 is about 1003.9978360085.

Adding to 1012041520 its reverse (251402101), we get a palindrome (1263443621).

The spelling of 1012041520 in words is "one billion, twelve million, forty-one thousand, five hundred twenty".