6505973563761 has 45 divisors (see below), whose sum is σ = 11305822120329. Its totient is φ = 3717607354776.

The previous prime is 6505973563721. The next prime is 6505973563781. The reversal of 6505973563761 is 1673653795056.

The square root of 6505973563761 is 2550681.

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

6505973563761 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 9 + 7 + 3 + 563 + 7 + 61 = 666.

It is not a de Polignac number, because 6505973563761 - 2²¹ = 6505971466609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6505973563711) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 160672660 + ... + 160713146.

Almost surely, 2^{6505973563761} is an apocalyptic number.

6505973563761 is the 2550681-st square number.

6505973563761 is the 1275341-st centered octagonal number.

It is an amenable number.

6505973563761 is a deficient number, since it is larger than the sum of its proper divisors (4799848556568).

6505973563761 is an frugal number, since it uses more digits than its factorization.

6505973563761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81000 (or 40497 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 6505973563761 in words is "six trillion, five hundred five billion, nine hundred seventy-three million, five hundred sixty-three thousand, seven hundred sixty-one".