61975596401 has 2 divisors, whose sum is σ = 61975596402. Its totient is φ = 61975596400.

The previous prime is 61975596337. The next prime is 61975596413. The reversal of 61975596401 is 10469557916.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48426403600 + 13549192801 = 220060^2 + 116401^2 .

It is a cyclic number.

It is not a de Polignac number, because 61975596401 - 2⁶ = 61975596337 is a prime.

It is not a weakly prime, because it can be changed into another prime (61975596461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30987798200 + 30987798201.

It is an arithmetic number, because the mean of its divisors is an integer number (30987798201).

Almost surely, 2^61975596401 is an apocalyptic number.

It is an amenable number.

61975596401 is a deficient number, since it is larger than the sum of its proper divisors (1).

61975596401 is an equidigital number, since it uses as much as digits as its factorization.

61975596401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 61975596401 in words is "sixty-one billion, nine hundred seventy-five million, five hundred ninety-six thousand, four hundred one".