500628417601 has 27 divisors (see below), whose sum is σ = 557526956553. Its totient is φ = 449323187040.

The previous prime is 500628417587. The next prime is 500628417613. The reversal of 500628417601 is 106714826005.

The square root of 500628417601 is 707551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2079451201 + 498548966400 = 45601^2 + 706080^2 .

It is not a de Polignac number, because 500628417601 - 2⁷ = 500628417473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (500628417631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340331296 + ... + 340332766.

It is an arithmetic number, because the mean of its divisors is an integer number (20649146539).

Almost surely, 2^500628417601 is an apocalyptic number.

500628417601 is the 707551-st square number.

500628417601 is the 353776-th centered octagonal number.

It is an amenable number.

500628417601 is a deficient number, since it is larger than the sum of its proper divisors (56898538952).

500628417601 is an frugal number, since it uses more digits than its factorization.

500628417601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 500628417601 in words is "five hundred billion, six hundred twenty-eight million, four hundred seventeen thousand, six hundred one".