1540941506325 has 72 divisors (see below), whose sum is σ = 2981126752968. Its totient is φ = 756365783040.

The previous prime is 1540941506197. The next prime is 1540941506327. The reversal of 1540941506325 is 5236051490451.

It is a happy number.

1540941506325 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 9 + 4 + 1 + 5 + 0 + 632 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1344321983601 + 196619522724 = 1159449^2 + 443418^2 .

It is not a de Polignac number, because 1540941506325 - 2⁷ = 1540941506197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540941506327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204097 + ... + 1767353.

Almost surely, 2^{1540941506325} is an apocalyptic number.

1540941506325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540941506325 is a deficient number, since it is larger than the sum of its proper divisors (1440185246643).

1540941506325 is a wasteful number, since it uses less digits than its factorization.

1540941506325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563623 (or 1563615 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 1540941506325 its reverse (5236051490451), we get a palindrome (6776992996776).

The spelling of 1540941506325 in words is "one trillion, five hundred forty billion, nine hundred forty-one million, five hundred six thousand, three hundred twenty-five".