93135412147561 has 27 divisors (see below), whose sum is σ = 108690203036727. Its totient is φ = 79574012199360.

The previous prime is 93135412147513. The next prime is 93135412147573. The reversal of 93135412147561 is 16574121453139.

The square root of 93135412147561 is 9650669.

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

It can be written as a sum of positive squares in only one way, i.e., 25114881675625 + 68020530471936 = 5011475^2 + 8247456^2 .

It is not a de Polignac number, because 93135412147561 - 2¹¹ = 93135412145513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93135412147499 and 93135412147508.

It is not an unprimeable number, because it can be changed into a prime (93135412147961) 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, 22765926126 + ... + 22765930216.

Almost surely, 2^{93135412147561} is an apocalyptic number.

93135412147561 is the 9650669-th square number.

93135412147561 is the 4825335-th centered octagonal number.

It is an amenable number.

93135412147561 is a deficient number, since it is larger than the sum of its proper divisors (15554790889166).

93135412147561 is an frugal number, since it uses more digits than its factorization.

93135412147561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870 (or 4435 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 93135412147561 in words is "ninety-three trillion, one hundred thirty-five billion, four hundred twelve million, one hundred forty-seven thousand, five hundred sixty-one".