61527256101 has 16 divisors (see below), whose sum is σ = 91374371200. Its totient is φ = 40917874464.

The previous prime is 61527256013. The next prime is 61527256111. The reversal of 61527256101 is 10165272516.

61527256101 is a `hidden beast` number, since 6 + 1 + 527 + 25 + 6 + 101 = 666.

It is not a de Polignac number, because 61527256101 - 2⁹ = 61527255589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61527256111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2774761 + ... + 2796846.

It is an arithmetic number, because the mean of its divisors is an integer number (5710898200).

Almost surely, 2^61527256101 is an apocalyptic number.

It is an amenable number.

61527256101 is a deficient number, since it is larger than the sum of its proper divisors (29847115099).

61527256101 is a wasteful number, since it uses less digits than its factorization.

61527256101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572025 (or 5572019 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 61527256101 in words is "sixty-one billion, five hundred twenty-seven million, two hundred fifty-six thousand, one hundred one".