61527712723261 has 8 divisors (see below), whose sum is σ = 61676077447224. Its totient is φ = 61379358512640.

The previous prime is 61527712723249. The next prime is 61527712723297. The reversal of 61527712723261 is 16232721772516.

It can be written as a sum of positive squares in 4 ways, for example, as 609781383225 + 60917931340036 = 780885^2 + 7804994^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61527712723261 - 2⁷ = 61527712723133 is a prime.

It is a super-2 number, since 2×61527712723261² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61527712723199 and 61527712723208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61527712723241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9154065 + ... + 14382361.

It is an arithmetic number, because the mean of its divisors is an integer number (7709509680903).

Almost surely, 2^{61527712723261} is an apocalyptic number.

It is an amenable number.

61527712723261 is a deficient number, since it is larger than the sum of its proper divisors (148364723963).

61527712723261 is a wasteful number, since it uses less digits than its factorization.

61527712723261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256671.

The product of its digits is 2963520, while the sum is 52.

The spelling of 61527712723261 in words is "sixty-one trillion, five hundred twenty-seven billion, seven hundred twelve million, seven hundred twenty-three thousand, two hundred sixty-one".