93783129220561 has 27 divisors (see below), whose sum is σ = 109506502705467. Its totient is φ = 80240700133440.

The previous prime is 93783129220553. The next prime is 93783129220577. The reversal of 93783129220561 is 16502292138739.

It is a happy number.

The square root of 93783129220561 is 9684169.

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., 73014546971025 + 20768582249536 = 8544855^2 + 4557256^2 .

It is not a de Polignac number, because 93783129220561 - 2³ = 93783129220553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93783129220496 and 93783129220505.

It is not an unprimeable number, because it can be changed into a prime (93783129220511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1810913710 + ... + 1810965496.

Almost surely, 2^{93783129220561} is an apocalyptic number.

93783129220561 is the 9684169-th square number.

93783129220561 is the 4842085-th centered octagonal number.

It is an amenable number.

93783129220561 is a deficient number, since it is larger than the sum of its proper divisors (15723373484906).

93783129220561 is an frugal number, since it uses more digits than its factorization.

93783129220561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103630 (or 51815 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 93783129220561 in words is "ninety-three trillion, seven hundred eighty-three billion, one hundred twenty-nine million, two hundred twenty thousand, five hundred sixty-one".