1330254146052 has 540 divisors, whose sum is σ = 4007498154660. Its totient is φ = 384533899776.

The previous prime is 1330254146051. The next prime is 1330254146141. The reversal of 1330254146052 is 2506414520331.

1330254146052 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 5 + 41 + 4 + 605 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 108468787716 + 1221785358336 = 329346^2 + 1105344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1330254145998 and 1330254146016.

It is not an unprimeable number, because it can be changed into a prime (1330254146051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3419676274 + ... + 3419676662.

It is an arithmetic number, because the mean of its divisors is an integer number (7421292879).

Almost surely, 2^{1330254146052} is an apocalyptic number.

1330254146052 is a gapful number since it is divisible by the number (12) 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 1330254146052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003749077330).

1330254146052 is an abundant number, since it is smaller than the sum of its proper divisors (2677244008608).

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

1330254146052 is a wasteful number, since it uses less digits than its factorization.

1330254146052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1330254146052 its reverse (2506414520331), we get a palindrome (3836668666383).

The spelling of 1330254146052 in words is "one trillion, three hundred thirty billion, two hundred fifty-four million, one hundred forty-six thousand, fifty-two".