61749268035 has 64 divisors (see below), whose sum is σ = 121640644608. Its totient is φ = 26047816704.

The previous prime is 61749268013. The next prime is 61749268039. The reversal of 61749268035 is 53086294716.

It is a Cunningham number, because it is equal to 248494²-1.

It is not a de Polignac number, because 61749268035 - 2⁵ = 61749268003 is a prime.

It is a super-2 number, since 2×61749268035² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (61749268039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5212479 + ... + 5224311.

It is an arithmetic number, because the mean of its divisors is an integer number (1900635072).

It is a 2-persistent number, because it is pandigital, and so is 2⋅61749268035 = 123498536070, but 3⋅61749268035 = 185247804105 is not.

Almost surely, 2^61749268035 is an apocalyptic number.

61749268035 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61749268035 is a deficient number, since it is larger than the sum of its proper divisors (59891376573).

61749268035 is a wasteful number, since it uses less digits than its factorization.

61749268035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 61749268035 in words is "sixty-one billion, seven hundred forty-nine million, two hundred sixty-eight thousand, thirty-five".