61043765928601 has 9 divisors (see below), whose sum is σ = 61487183066751. Its totient is φ = 60603523943904.

The previous prime is 61043765928589. The next prime is 61043765928637. The reversal of 61043765928601 is 10682956734016.

The square root of 61043765928601 is 7813051.

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., 44069695527001 + 16974070401600 = 6638501^2 + 4119960^2 .

It is not a de Polignac number, because 61043765928601 - 2¹¹ = 61043765926553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61043765928641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1085985985 + ... + 1086042193.

It is an arithmetic number, because the mean of its divisors is an integer number (6831909229639).

It is a 1-persistent number, because it is pandigital, but 2⋅61043765928601 = 122087531857202 is not.

Almost surely, 2^{61043765928601} is an apocalyptic number.

61043765928601 is the 7813051-st square number.

61043765928601 is the 3906526-th centered octagonal number.

It is an amenable number.

61043765928601 is a deficient number, since it is larger than the sum of its proper divisors (443417138150).

61043765928601 is an frugal number, since it uses more digits than its factorization.

61043765928601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112696 (or 56348 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 61043765928601 in words is "sixty-one trillion, forty-three billion, seven hundred sixty-five million, nine hundred twenty-eight thousand, six hundred one".