1153050541540 has 24 divisors (see below), whose sum is σ = 2480464825272. Its totient is φ = 449970942720.

The previous prime is 1153050541519. The next prime is 1153050541549. The reversal of 1153050541540 is 451450503511.

It can be written as a sum of positive squares in 4 ways, for example, as 63565502884 + 1089485038656 = 252122^2 + 1043784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1153050541496 and 1153050541505.

It is not an unprimeable number, because it can be changed into a prime (1153050541549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703078779 + ... + 703080418.

It is an arithmetic number, because the mean of its divisors is an integer number (103352701053).

Almost surely, 2^{1153050541540} is an apocalyptic number.

1153050541540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153050541540 is an abundant number, since it is smaller than the sum of its proper divisors (1327414283732).

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

1153050541540 is a wasteful number, since it uses less digits than its factorization.

1153050541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406159247 (or 1406159245 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 1153050541540 in words is "one trillion, one hundred fifty-three billion, fifty million, five hundred forty-one thousand, five hundred forty".