61331147523301 has 2 divisors, whose sum is σ = 61331147523302. Its totient is φ = 61331147523300.

The previous prime is 61331147523277. The next prime is 61331147523311. The reversal of 61331147523301 is 10332574113316.

61331147523301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33718066839076 + 27613080684225 = 5806726^2 + 5254815^2 .

It is a cyclic number.

It is not a de Polignac number, because 61331147523301 - 2¹³ = 61331147515109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61331147523311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30665573761650 + 30665573761651.

It is an arithmetic number, because the mean of its divisors is an integer number (30665573761651).

Almost surely, 2^{61331147523301} is an apocalyptic number.

It is an amenable number.

61331147523301 is a deficient number, since it is larger than the sum of its proper divisors (1).

61331147523301 is an equidigital number, since it uses as much as digits as its factorization.

61331147523301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 61331147523301 in words is "sixty-one trillion, three hundred thirty-one billion, one hundred forty-seven million, five hundred twenty-three thousand, three hundred one".