252508001 has 2 divisors, whose sum is σ = 252508002. Its totient is φ = 252508000.

The previous prime is 252507907. The next prime is 252508019. The reversal of 252508001 is 100805252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145178401 + 107329600 = 12049^2 + 10360^2 .

It is a cyclic number.

It is not a de Polignac number, because 252508001 - 2¹⁰ = 252506977 is a prime.

It is not a weakly prime, because it can be changed into another prime (252508031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126254000 + 126254001.

It is an arithmetic number, because the mean of its divisors is an integer number (126254001).

Almost surely, 2^252508001 is an apocalyptic number.

It is an amenable number.

252508001 is a deficient number, since it is larger than the sum of its proper divisors (1).

252508001 is an equidigital number, since it uses as much as digits as its factorization.

252508001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 252508001 is about 15890.5003382524. The cubic root of 252508001 is about 632.0601083473.

The spelling of 252508001 in words is "two hundred fifty-two million, five hundred eight thousand, one".