75564512101 has 8 divisors (see below), whose sum is σ = 81472134744. Its totient is φ = 69670456320.

The previous prime is 75564512081. The next prime is 75564512167. The reversal of 75564512101 is 10121546557.

It is a Cunningham number, because it is equal to 274890²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 11177987076 + 64386525025 = 105726^2 + 253745^2 .

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 75564512101 - 2¹³ = 75564503909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75564519101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3380140 + ... + 3402421.

It is an arithmetic number, because the mean of its divisors is an integer number (10184016843).

Almost surely, 2^75564512101 is an apocalyptic number.

It is an amenable number.

75564512101 is a deficient number, since it is larger than the sum of its proper divisors (5907622643).

75564512101 is a wasteful number, since it uses less digits than its factorization.

75564512101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783431.

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 75564512101 in words is "seventy-five billion, five hundred sixty-four million, five hundred twelve thousand, one hundred one".