1253532330000 has 300 divisors, whose sum is σ = 4386137586688. Its totient is φ = 334095840000.

The previous prime is 1253532329921. The next prime is 1253532330023. The reversal of 1253532330000 is 332353521.

1253532330000 is a `hidden beast` number, since 1 + 2 + 5 + 35 + 323 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 315988017 + ... + 315991983.

Almost surely, 2^{1253532330000} is an apocalyptic number.

1253532330000 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 1253532330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193068793344).

1253532330000 is an abundant number, since it is smaller than the sum of its proper divisors (3132605256688).

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

1253532330000 is a wasteful number, since it uses less digits than its factorization.

1253532330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 1253532330000 its reverse (332353521), we get a palindrome (1253864683521).

The spelling of 1253532330000 in words is "one trillion, two hundred fifty-three billion, five hundred thirty-two million, three hundred thirty thousand".