61623058121 has 2 divisors, whose sum is σ = 61623058122. Its totient is φ = 61623058120.

The previous prime is 61623058069. The next prime is 61623058151. The reversal of 61623058121 is 12185032616.

61623058121 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., 45299162896 + 16323895225 = 212836^2 + 127765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61623058121 is a prime.

It is not a weakly prime, because it can be changed into another prime (61623058151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30811529060 + 30811529061.

It is an arithmetic number, because the mean of its divisors is an integer number (30811529061).

Almost surely, 2^61623058121 is an apocalyptic number.

It is an amenable number.

61623058121 is a deficient number, since it is larger than the sum of its proper divisors (1).

61623058121 is an equidigital number, since it uses as much as digits as its factorization.

61623058121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 61623058121 in words is "sixty-one billion, six hundred twenty-three million, fifty-eight thousand, one hundred twenty-one".