1505051051681 has 16 divisors (see below), whose sum is σ = 1600359966720. Its totient is φ = 1412330876880.

The previous prime is 1505051051677. The next prime is 1505051051701. The reversal of 1505051051681 is 1861501505051.

It is a cyclic number.

It is not a de Polignac number, because 1505051051681 - 2² = 1505051051677 is a prime.

It is a super-2 number, since 2×1505051051681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1505051051611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 463145 + ... + 1795718.

It is an arithmetic number, because the mean of its divisors is an integer number (100022497920).

Almost surely, 2^{1505051051681} is an apocalyptic number.

It is an amenable number.

1505051051681 is a deficient number, since it is larger than the sum of its proper divisors (95308915039).

1505051051681 is a wasteful number, since it uses less digits than its factorization.

1505051051681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259436.

The product of its (nonzero) digits is 30000, while the sum is 38.

The spelling of 1505051051681 in words is "one trillion, five hundred five billion, fifty-one million, fifty-one thousand, six hundred eighty-one".