1263632401 has 2 divisors, whose sum is σ = 1263632402. Its totient is φ = 1263632400.

The previous prime is 1263632353. The next prime is 1263632429. The reversal of 1263632401 is 1042363621.

1263632401 = T₂₉₀₂₃ + T₂₉₀₂₄ + T₂₉₀₂₅.

It is an a-pointer prime, because the next prime (1263632429) can be obtained adding 1263632401 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1104897600 + 158734801 = 33240^2 + 12599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1263632401 - 2⁷ = 1263632273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1263632401.

It is not a weakly prime, because it can be changed into another prime (1263632431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 631816200 + 631816201.

It is an arithmetic number, because the mean of its divisors is an integer number (631816201).

Almost surely, 2^1263632401 is an apocalyptic number.

1263632401 is the 29025-th centered triangular number.

It is an amenable number.

1263632401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1263632401 is an equidigital number, since it uses as much as digits as its factorization.

1263632401 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 28.

The square root of 1263632401 is about 35547.6075284962. The cubic root of 1263632401 is about 1081.1192104111.

The spelling of 1263632401 in words is "one billion, two hundred sixty-three million, six hundred thirty-two thousand, four hundred one".