61261729101 has 18 divisors (see below), whose sum is σ = 89963636490. Its totient is φ = 40171603680.

The previous prime is 61261729099. The next prime is 61261729147. The reversal of 61261729101 is 10192716216.

61261729101 is a `hidden beast` number, since 6 + 1 + 2 + 617 + 29 + 10 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1125938025 + 60135791076 = 33555^2 + 245226^2 .

It is not a de Polignac number, because 61261729101 - 2¹ = 61261729099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261729171) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 881166 + ... + 948143.

It is an arithmetic number, because the mean of its divisors is an integer number (4997979805).

Almost surely, 2^61261729101 is an apocalyptic number.

61261729101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

61261729101 is a deficient number, since it is larger than the sum of its proper divisors (28701907389).

61261729101 is a wasteful number, since it uses less digits than its factorization.

61261729101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829437 (or 1829373 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 61261729101 in words is "sixty-one billion, two hundred sixty-one million, seven hundred twenty-nine thousand, one hundred one".