61353133461 has 6 divisors (see below), whose sum is σ = 88621192790. Its totient is φ = 40902088968.

The previous prime is 61353133421. The next prime is 61353133463. The reversal of 61353133461 is 16433135316.

61353133461 is a `hidden beast` number, since 6 + 13 + 53 + 133 + 461 = 666.

61353133461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45535292100 + 15817841361 = 213390^2 + 125769^2 .

It is not a de Polignac number, because 61353133461 - 2¹⁵ = 61353100693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61353133463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3408507406 + ... + 3408507423.

Almost surely, 2^61353133461 is an apocalyptic number.

It is an amenable number.

61353133461 is a deficient number, since it is larger than the sum of its proper divisors (27268059329).

61353133461 is a wasteful number, since it uses less digits than its factorization.

61353133461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817014835 (or 6817014832 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Adding to 61353133461 its reverse (16433135316), we get a palindrome (77786268777).

The spelling of 61353133461 in words is "sixty-one billion, three hundred fifty-three million, one hundred thirty-three thousand, four hundred sixty-one".