61028127567 has 32 divisors (see below), whose sum is σ = 98649995520. Its totient is φ = 36979740000.

The previous prime is 61028127557. The next prime is 61028127571. The reversal of 61028127567 is 76572182016.

61028127567 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 81 + 2 + 7 + 567 = 666.

It is not a de Polignac number, because 61028127567 - 2⁴ = 61028127551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61028127557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855092 + ... + 1887702.

It is an arithmetic number, because the mean of its divisors is an integer number (3082812360).

Almost surely, 2^61028127567 is an apocalyptic number.

61028127567 is a deficient number, since it is larger than the sum of its proper divisors (37621867953).

61028127567 is a wasteful number, since it uses less digits than its factorization.

61028127567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38932 (or 38926 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 61028127567 in words is "sixty-one billion, twenty-eight million, one hundred twenty-seven thousand, five hundred sixty-seven".