1505340020 has 12 divisors (see below), whose sum is σ = 3161214084. Its totient is φ = 602136000.

The previous prime is 1505339963. The next prime is 1505340061. The reversal of 1505340020 is 200435051.

It can be written as a sum of positive squares in 2 ways, for example, as 806900836 + 698439184 = 28406^2 + 26428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 75267001 = 1505340020 / (1 + 5 + 0 + 5 + 3 + 4 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1505339974 and 1505340001.

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 3 ways as a sum of consecutive naturals, for example, 37633481 + ... + 37633520.

It is an arithmetic number, because the mean of its divisors is an integer number (263434507).

Almost surely, 2^1505340020 is an apocalyptic number.

1505340020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1505340020 is an abundant number, since it is smaller than the sum of its proper divisors (1655874064).

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

1505340020 is a wasteful number, since it uses less digits than its factorization.

1505340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75267010 (or 75267008 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1505340020 is about 38798.7115765459. The cubic root of 1505340020 is about 1146.0710330828.

Adding to 1505340020 its reverse (200435051), we get a palindrome (1705775071).

The spelling of 1505340020 in words is "one billion, five hundred five million, three hundred forty thousand, twenty".