10000461629 has 2 divisors, whose sum is σ = 10000461630. Its totient is φ = 10000461628.

The previous prime is 10000461563. The next prime is 10000461631. The reversal of 10000461629 is 92616400001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5048102500 + 4952359129 = 71050^2 + 70373^2 .

It is an emirp because it is prime and its reverse (92616400001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000461629 - 2²⁴ = 9983684413 is a prime.

Together with 10000461631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000461689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000230814 + 5000230815.

It is an arithmetic number, because the mean of its divisors is an integer number (5000230815).

Almost surely, 2^10000461629 is an apocalyptic number.

It is an amenable number.

10000461629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000461629 is an equidigital number, since it uses as much as digits as its factorization.

10000461629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10000461629 in words is "ten billion, four hundred sixty-one thousand, six hundred twenty-nine".