252592801 has 2 divisors, whose sum is σ = 252592802. Its totient is φ = 252592800.

The previous prime is 252592763. The next prime is 252592829. The reversal of 252592801 is 108295252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229552801 + 23040000 = 15151^2 + 4800^2 .

It is a cyclic number.

It is not a de Polignac number, because 252592801 - 2¹³ = 252584609 is a prime.

It is not a weakly prime, because it can be changed into another prime (252592201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126296400 + 126296401.

It is an arithmetic number, because the mean of its divisors is an integer number (126296401).

Almost surely, 2^252592801 is an apocalyptic number.

It is an amenable number.

252592801 is a deficient number, since it is larger than the sum of its proper divisors (1).

252592801 is an equidigital number, since it uses as much as digits as its factorization.

252592801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 252592801 is about 15893.1683751227. The cubic root of 252592801 is about 632.1308555422.

The spelling of 252592801 in words is "two hundred fifty-two million, five hundred ninety-two thousand, eight hundred one".