1005525601 has 2 divisors, whose sum is σ = 1005525602. Its totient is φ = 1005525600.

The previous prime is 1005525551. The next prime is 1005525617. The reversal of 1005525601 is 1065255001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004573025 + 952576 = 31695^2 + 976^2 .

It is an emirp because it is prime and its reverse (1065255001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005525601 - 2¹⁹ = 1005001313 is a prime.

It is a super-2 number, since 2×1005525601² = 2022163468532822402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005525691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502762800 + 502762801.

It is an arithmetic number, because the mean of its divisors is an integer number (502762801).

Almost surely, 2^1005525601 is an apocalyptic number.

It is an amenable number.

1005525601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005525601 is an equidigital number, since it uses as much as digits as its factorization.

1005525601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1005525601 is about 31710.0236676039. The cubic root of 1005525601 is about 1001.8384849019.

The spelling of 1005525601 in words is "one billion, five million, five hundred twenty-five thousand, six hundred one".