61577537020261 has 8 divisors (see below), whose sum is σ = 62743994319744. Its totient is φ = 60411250720080.

The previous prime is 61577537020249. The next prime is 61577537020309. The reversal of 61577537020261 is 16202073577516.

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 61577537020261 - 2⁷ = 61577537020133 is a prime.

It is a super-2 number, since 2×61577537020261² (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 = 61577537020199 and 61577537020208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61577537020361) 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 7 ways as a sum of consecutive naturals, for example, 42022681 + ... + 43463326.

It is an arithmetic number, because the mean of its divisors is an integer number (7842999289968).

Almost surely, 2^{61577537020261} is an apocalyptic number.

It is an amenable number.

61577537020261 is a deficient number, since it is larger than the sum of its proper divisors (1166457299483).

61577537020261 is a wasteful number, since it uses less digits than its factorization.

61577537020261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85499651.

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 61577537020261 in words is "sixty-one trillion, five hundred seventy-seven billion, five hundred thirty-seven million, twenty thousand, two hundred sixty-one".