501614705577345 has 128 divisors (see below), whose sum is σ = 852085140019200. Its totient is φ = 251279780456448.

The previous prime is 501614705577313. The next prime is 501614705577347. The reversal of 501614705577345 is 543775507416105.

It is a happy number.

It is not a de Polignac number, because 501614705577345 - 2⁵ = 501614705577313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (501614705577347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32095116991 + ... + 32095132619.

It is an arithmetic number, because the mean of its divisors is an integer number (6656915156400).

Almost surely, 2^{501614705577345} is an apocalyptic number.

It is an amenable number.

501614705577345 is a deficient number, since it is larger than the sum of its proper divisors (350470434441855).

501614705577345 is a wasteful number, since it uses less digits than its factorization.

501614705577345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17919.

The product of its (nonzero) digits is 61740000, while the sum is 60.

The spelling of 501614705577345 in words is "five hundred one trillion, six hundred fourteen billion, seven hundred five million, five hundred seventy-seven thousand, three hundred forty-five".