61305757755 has 48 divisors (see below), whose sum is σ = 107866106880. Its totient is φ = 29710486080.

The previous prime is 61305757741. The next prime is 61305757757. The reversal of 61305757755 is 55775750316.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-61305757755 is a prime.

It is a super-3 number, since 3×61305757755³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61305757698 and 61305757707.

It is not an unprimeable number, because it can be changed into a prime (61305757757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4819734 + ... + 4832436.

It is an arithmetic number, because the mean of its divisors is an integer number (2247210560).

Almost surely, 2^61305757755 is an apocalyptic number.

61305757755 is a deficient number, since it is larger than the sum of its proper divisors (46560349125).

61305757755 is a wasteful number, since it uses less digits than its factorization.

61305757755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15381 counting only the distinct ones).

The product of its (nonzero) digits is 3858750, while the sum is 51.

The spelling of 61305757755 in words is "sixty-one billion, three hundred five million, seven hundred fifty-seven thousand, seven hundred fifty-five".