501725605256505 has 64 divisors (see below), whose sum is σ = 1044241910208000. Its totient is φ = 223766123581440.

The previous prime is 501725605256483. The next prime is 501725605256507. The reversal of 501725605256505 is 505652506527105.

It is a happy number.

501725605256505 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 2 + 5 + 60 + 525 + 6 + 50 + 5 = 666.

It is not a de Polignac number, because 501725605256505 - 2¹² = 501725605252409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (501725605256507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6474675480 + ... + 6474752969.

It is an arithmetic number, because the mean of its divisors is an integer number (16316279847000).

Almost surely, 2^{501725605256505} is an apocalyptic number.

It is an amenable number.

501725605256505 is an abundant number, since it is smaller than the sum of its proper divisors (542516304951495).

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

501725605256505 is a wasteful number, since it uses less digits than its factorization.

501725605256505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949428511 (or 12949428505 counting only the distinct ones).

The product of its (nonzero) digits is 15750000, while the sum is 54.

The spelling of 501725605256505 in words is "five hundred one trillion, seven hundred twenty-five billion, six hundred five million, two hundred fifty-six thousand, five hundred five".