1540353412125 has 256 divisors, whose sum is σ = 3207607603200. Its totient is φ = 722929536000.

The previous prime is 1540353412099. The next prime is 1540353412127. The reversal of 1540353412125 is 5212143530451.

1540353412125 is a `hidden beast` number, since 1 + 5 + 403 + 5 + 34 + 1 + 212 + 5 = 666.

It is not a de Polignac number, because 1540353412125 - 2⁶ = 1540353412061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1540353412125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540353412127) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 180386106 + ... + 180394644.

It is an arithmetic number, because the mean of its divisors is an integer number (12529717200).

Almost surely, 2^{1540353412125} is an apocalyptic number.

1540353412125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540353412125 is an abundant number, since it is smaller than the sum of its proper divisors (1667254191075).

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

1540353412125 is a wasteful number, since it uses less digits than its factorization.

1540353412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1540353412125 its reverse (5212143530451), we get a palindrome (6752496942576).

The spelling of 1540353412125 in words is "one trillion, five hundred forty billion, three hundred fifty-three million, four hundred twelve thousand, one hundred twenty-five".