629126401 has 2 divisors, whose sum is σ = 629126402. Its totient is φ = 629126400.

The previous prime is 629126357. The next prime is 629126411. The reversal of 629126401 is 104621926.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 580810000 + 48316401 = 24100^2 + 6951^2 .

It is a cyclic number.

It is not a de Polignac number, because 629126401 - 2¹⁹ = 628602113 is a prime.

It is not a weakly prime, because it can be changed into another prime (629126411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314563200 + 314563201.

It is an arithmetic number, because the mean of its divisors is an integer number (314563201).

Almost surely, 2^629126401 is an apocalyptic number.

It is an amenable number.

629126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

629126401 is an equidigital number, since it uses as much as digits as its factorization.

629126401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 629126401 is about 25082.3922503417. The cubic root of 629126401 is about 856.8654598956.

The spelling of 629126401 in words is "six hundred twenty-nine million, one hundred twenty-six thousand, four hundred one".