61364632372101 has 6 divisors (see below), whose sum is σ = 88637802315270. Its totient is φ = 40909754914728.

The previous prime is 61364632372063. The next prime is 61364632372123. The reversal of 61364632372101 is 10127323646316.

61364632372101 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 4 + 632 + 3 + 7 + 2 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56757389062500 + 4607243309601 = 7533750^2 + 2146449^2 .

It is not a de Polignac number, because 61364632372101 - 2⁴² = 56966585860997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61364632372151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3409146242886 + ... + 3409146242903.

It is an arithmetic number, because the mean of its divisors is an integer number (14772967052545).

Almost surely, 2^{61364632372101} is an apocalyptic number.

It is an amenable number.

61364632372101 is a deficient number, since it is larger than the sum of its proper divisors (27273169943169).

61364632372101 is a wasteful number, since it uses less digits than its factorization.

61364632372101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818292485795 (or 6818292485792 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 61364632372101 in words is "sixty-one trillion, three hundred sixty-four billion, six hundred thirty-two million, three hundred seventy-two thousand, one hundred one".