93135442761 has 63 divisors (see below), whose sum is σ = 142346665911. Its totient is φ = 60909244704.

The previous prime is 93135442723. The next prime is 93135442789. The reversal of 93135442761 is 16724453139.

The square root of 93135442761 is 305181.

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

93135442761 is a `hidden beast` number, since 9 + 3 + 135 + 442 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17883980361 + 75251462400 = 133731^2 + 274320^2 .

It is not a de Polignac number, because 93135442761 - 2¹³ = 93135434569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93135442711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 733349880 + ... + 733350006.

Almost surely, 2^93135442761 is an apocalyptic number.

93135442761 is the 305181-st square number.

93135442761 is the 152591-st centered octagonal number.

It is an amenable number.

93135442761 is a deficient number, since it is larger than the sum of its proper divisors (49211223150).

93135442761 is an frugal number, since it uses more digits than its factorization.

93135442761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 93135442761 in words is "ninety-three billion, one hundred thirty-five million, four hundred forty-two thousand, seven hundred sixty-one".