1505505605145 has 32 divisors (see below), whose sum is σ = 2453182295040. Its totient is φ = 788184615360.

The previous prime is 1505505605141. The next prime is 1505505605173. The reversal of 1505505605145 is 5415065055051.

It is not a de Polignac number, because 1505505605145 - 2² = 1505505605141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1505505605097 and 1505505605106.

It is not an unprimeable number, because it can be changed into a prime (1505505605141) 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 31 ways as a sum of consecutive naturals, for example, 619389 + ... + 1842458.

It is an arithmetic number, because the mean of its divisors is an integer number (76661946720).

Almost surely, 2^{1505505605145} is an apocalyptic number.

1505505605145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505505605145 is a deficient number, since it is larger than the sum of its proper divisors (947676689895).

1505505605145 is a wasteful number, since it uses less digits than its factorization.

1505505605145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462605.

The product of its (nonzero) digits is 375000, while the sum is 42.

The spelling of 1505505605145 in words is "one trillion, five hundred five billion, five hundred five million, six hundred five thousand, one hundred forty-five".