133505753871961 has 9 divisors (see below), whose sum is σ = 135413432674293. Its totient is φ = 131624582328540.

The previous prime is 133505753871953. The next prime is 133505753871991. The reversal of 133505753871961 is 169178357505331.

The square root of 133505753871961 is 11554469.

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

It is not a de Polignac number, because 133505753871961 - 2³ = 133505753871953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133505753871893 and 133505753871902.

It is not an unprimeable number, because it can be changed into a prime (133505753871991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 820285930 + ... + 820448668.

Almost surely, 2^{133505753871961} is an apocalyptic number.

133505753871961 is the 11554469-th square number.

133505753871961 is the 5777235-th centered octagonal number.

It is an amenable number.

133505753871961 is a deficient number, since it is larger than the sum of its proper divisors (1907678802332).

133505753871961 is an frugal number, since it uses more digits than its factorization.

133505753871961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325620 (or 162810 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 64.

The spelling of 133505753871961 in words is "one hundred thirty-three trillion, five hundred five billion, seven hundred fifty-three million, eight hundred seventy-one thousand, nine hundred sixty-one".