1064558401 has 2 divisors, whose sum is σ = 1064558402. Its totient is φ = 1064558400.

The previous prime is 1064558393. The next prime is 1064558437. The reversal of 1064558401 is 1048554601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 715616001 + 348942400 = 26751^2 + 18680^2 .

It is an emirp because it is prime and its reverse (1048554601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1064558401 - 2³ = 1064558393 is a prime.

It is a super-2 number, since 2×1064558401² = 2266569178279353602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1064558461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 532279200 + 532279201.

It is an arithmetic number, because the mean of its divisors is an integer number (532279201).

Almost surely, 2^1064558401 is an apocalyptic number.

It is an amenable number.

1064558401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1064558401 is an equidigital number, since it uses as much as digits as its factorization.

1064558401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 1064558401 is about 32627.5711783761. The cubic root of 1064558401 is about 1021.0723059261.

The spelling of 1064558401 in words is "one billion, sixty-four million, five hundred fifty-eight thousand, four hundred one".