1603541540 has 24 divisors (see below), whose sum is σ = 3368473080. Its totient is φ = 641219328.

The previous prime is 1603541539. The next prime is 1603541543. The reversal of 1603541540 is 451453061.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 418529764 + 1185011776 = 20458^2 + 34424^2 .

It is not an unprimeable number, because it can be changed into a prime (1603541543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66656 + ... + 87464.

It is an arithmetic number, because the mean of its divisors is an integer number (140353045).

Almost surely, 2^1603541540 is an apocalyptic number.

1603541540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1603541540 is an abundant number, since it is smaller than the sum of its proper divisors (1764931540).

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

1603541540 is a wasteful number, since it uses less digits than its factorization.

1603541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24671 (or 24669 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1603541540 is about 40044.2447799930. The cubic root of 1603541540 is about 1170.4694198385.

It can be divided in two parts, 16035 and 41540, that added together give a palindrome (57575).

The spelling of 1603541540 in words is "one billion, six hundred three million, five hundred forty-one thousand, five hundred forty".