61965567949807 has 16 divisors (see below), whose sum is σ = 62831955820032. Its totient is φ = 61102090329280.

The previous prime is 61965567949783. The next prime is 61965567949921. The reversal of 61965567949807 is 70894976556916.

It is a cyclic number.

It is not a de Polignac number, because 61965567949807 - 2³⁹ = 61415812135919 is a prime.

It is a super-2 number, since 2×61965567949807² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61965567940807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178604298 + ... + 178950904.

It is an arithmetic number, because the mean of its divisors is an integer number (3926997238752).

Almost surely, 2^{61965567949807} is an apocalyptic number.

61965567949807 is a deficient number, since it is larger than the sum of its proper divisors (866387870225).

61965567949807 is a wasteful number, since it uses less digits than its factorization.

61965567949807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350798.

The product of its (nonzero) digits is 6172588800, while the sum is 82.

The spelling of 61965567949807 in words is "sixty-one trillion, nine hundred sixty-five billion, five hundred sixty-seven million, nine hundred forty-nine thousand, eight hundred seven".