61801084025 has 12 divisors (see below), whose sum is σ = 77889630444. Its totient is φ = 48630360000.

The previous prime is 61801083991. The next prime is 61801084031. The reversal of 61801084025 is 52048010816.

It can be written as a sum of positive squares in 6 ways, for example, as 30901069369 + 30900014656 = 175787^2 + 175784^2 .

It is not a de Polignac number, because 61801084025 - 2⁸ = 61801083769 is a prime.

It is a super-2 number, since 2×61801084025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20261126 + ... + 20264175.

It is an arithmetic number, because the mean of its divisors is an integer number (6490802537).

Almost surely, 2^61801084025 is an apocalyptic number.

It is an amenable number.

61801084025 is a deficient number, since it is larger than the sum of its proper divisors (16088546419).

61801084025 is a wasteful number, since it uses less digits than its factorization.

61801084025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40525372 (or 40525367 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 61801084025 in words is "sixty-one billion, eight hundred one million, eighty-four thousand, twenty-five".