6577117777703 has 32 divisors (see below), whose sum is σ = 7214529506880. Its totient is φ = 5946407976960.

The previous prime is 6577117777649. The next prime is 6577117777723. The reversal of 6577117777703 is 3077777117756.

It is not a de Polignac number, because 6577117777703 - 2¹⁶ = 6577117712167 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6577117777703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577117777723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3751920275 + ... + 3751922027.

It is an arithmetic number, because the mean of its divisors is an integer number (225454047090).

Almost surely, 2^{6577117777703} is an apocalyptic number.

6577117777703 is a deficient number, since it is larger than the sum of its proper divisors (637411729177).

6577117777703 is a wasteful number, since it uses less digits than its factorization.

6577117777703 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227.

The product of its (nonzero) digits is 74118870, while the sum is 65.

The spelling of 6577117777703 in words is "six trillion, five hundred seventy-seven billion, one hundred seventeen million, seven hundred seventy-seven thousand, seven hundred three".