505761726051 has 12 divisors (see below), whose sum is σ = 755735912880. Its totient is φ = 325547777520.

The previous prime is 505761726013. The next prime is 505761726089. The reversal of 505761726051 is 150627167505.

505761726051 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 617 + 26 + 0 + 5 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (505761726013) and next prime (505761726089).

It is not a de Polignac number, because 505761726051 - 2¹⁹ = 505761201763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505761725988 and 505761726006.

It is not an unprimeable number, because it can be changed into a prime (505761726011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968891935 + ... + 968892456.

It is an arithmetic number, because the mean of its divisors is an integer number (62977992740).

Almost surely, 2^505761726051 is an apocalyptic number.

505761726051 is a deficient number, since it is larger than the sum of its proper divisors (249974186829).

505761726051 is a wasteful number, since it uses less digits than its factorization.

505761726051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937784426 (or 1937784423 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 505761726051 in words is "five hundred five billion, seven hundred sixty-one million, seven hundred twenty-six thousand, fifty-one".