61017284801 has 12 divisors (see below), whose sum is σ = 67110483300. Its totient is φ = 55435607040.

The previous prime is 61017284791. The next prime is 61017284803. The reversal of 61017284801 is 10848271016.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55496051776 + 5521233025 = 235576^2 + 74305^2 .

It is not a de Polignac number, because 61017284801 - 2¹⁸ = 61017022657 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61017284803) 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 11 ways as a sum of consecutive naturals, for example, 37985 + ... + 351393.

It is an arithmetic number, because the mean of its divisors is an integer number (5592540275).

Almost surely, 2^61017284801 is an apocalyptic number.

It is an amenable number.

61017284801 is a deficient number, since it is larger than the sum of its proper divisors (6093198499).

61017284801 is a wasteful number, since it uses less digits than its factorization.

61017284801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315040 (or 315029 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 61017284801 in words is "sixty-one billion, seventeen million, two hundred eighty-four thousand, eight hundred one".