252945001 has 2 divisors, whose sum is σ = 252945002. Its totient is φ = 252945000.

The previous prime is 252944983. The next prime is 252945013. The reversal of 252945001 is 100549252.

252945001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229674025 + 23270976 = 15155^2 + 4824^2 .

It is a cyclic number.

It is not a de Polignac number, because 252945001 - 2⁵ = 252944969 is a prime.

It is equal to p_13831543 and since 252945001 and 13831543 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (252945071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126472500 + 126472501.

It is an arithmetic number, because the mean of its divisors is an integer number (126472501).

Almost surely, 2^252945001 is an apocalyptic number.

It is an amenable number.

252945001 is a deficient number, since it is larger than the sum of its proper divisors (1).

252945001 is an equidigital number, since it uses as much as digits as its factorization.

252945001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 252945001 is about 15904.2447478653. The cubic root of 252945001 is about 632.4245206686.

The spelling of 252945001 in words is "two hundred fifty-two million, nine hundred forty-five thousand, one".