93433537561 has 27 divisors (see below), whose sum is σ = 117726779871. Its totient is φ = 73903428144.

The previous prime is 93433537559. The next prime is 93433537577. The reversal of 93433537561 is 16573533439.

The square root of 93433537561 is 305669.

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., 13821529225 + 79612008336 = 117565^2 + 282156^2 .

It is not a de Polignac number, because 93433537561 - 2¹ = 93433537559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93433537501) 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, 27814200 + ... + 27817558.

Almost surely, 2^93433537561 is an apocalyptic number.

93433537561 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

93433537561 is the 305669-th square number.

93433537561 is the 152835-th centered octagonal number.

It is an amenable number.

93433537561 is a deficient number, since it is larger than the sum of its proper divisors (24293242310).

93433537561 is an frugal number, since it uses more digits than its factorization.

93433537561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 3379 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 49.

Multiplying 93433537561 by its sum of digits (49), we get a square (4578243340489 = 2139683²).

93433537561 divided by its sum of digits (49) gives a square (1906806889 = 43667²).

The spelling of 93433537561 in words is "ninety-three billion, four hundred thirty-three million, five hundred thirty-seven thousand, five hundred sixty-one".