67501522196761 has 27 divisors (see below), whose sum is σ = 68871500219133. Its totient is φ = 66158620058880.

The previous prime is 67501522196747. The next prime is 67501522196807. The reversal of 67501522196761 is 16769122510576.

The square root of 67501522196761 is 8215931.

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 7172996280025 + 60328525916736 = 2678245^2 + 7767144^2 .

It is not a de Polignac number, because 67501522196761 - 2⁹ = 67501522196249 is a prime.

It is a super-2 number, since 2×67501522196761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67501522196696 and 67501522196705.

It is not an unprimeable number, because it can be changed into a prime (67501522196741) 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, 144542873850 + ... + 144542874316.

Almost surely, 2^{67501522196761} is an apocalyptic number.

67501522196761 is the 8215931-st square number.

67501522196761 is the 4107966-th centered octagonal number.

It is an amenable number.

67501522196761 is a deficient number, since it is larger than the sum of its proper divisors (1369978022372).

67501522196761 is an frugal number, since it uses more digits than its factorization.

67501522196761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 67501522196761 in words is "sixty-seven trillion, five hundred one billion, five hundred twenty-two million, one hundred ninety-six thousand, seven hundred sixty-one".