100052958641 has 2 divisors, whose sum is σ = 100052958642. Its totient is φ = 100052958640.

The previous prime is 100052958623. The next prime is 100052958659. The reversal of 100052958641 is 146859250001.

It is a balanced prime because it is at equal distance from previous prime (100052958623) and next prime (100052958659).

It can be written as a sum of positive squares in only one way, i.e., 85310142241 + 14742816400 = 292079^2 + 121420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100052958641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100052958661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50026479320 + 50026479321.

It is an arithmetic number, because the mean of its divisors is an integer number (50026479321).

Almost surely, 2^100052958641 is an apocalyptic number.

It is an amenable number.

100052958641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100052958641 is an equidigital number, since it uses as much as digits as its factorization.

100052958641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 100052958641 in words is "one hundred billion, fifty-two million, nine hundred fifty-eight thousand, six hundred forty-one".