252131141201 has 2 divisors, whose sum is σ = 252131141202. Its totient is φ = 252131141200.

The previous prime is 252131141191. The next prime is 252131141261. The reversal of 252131141201 is 102141131252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219750938176 + 32380203025 = 468776^2 + 179945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252131141201 is a prime.

It is a super-2 number, since 2×252131141201² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252131141261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126065570600 + 126065570601.

It is an arithmetic number, because the mean of its divisors is an integer number (126065570601).

Almost surely, 2^252131141201 is an apocalyptic number.

It is an amenable number.

252131141201 is a deficient number, since it is larger than the sum of its proper divisors (1).

252131141201 is an equidigital number, since it uses as much as digits as its factorization.

252131141201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 252131141201 its reverse (102141131252), we get a palindrome (354272272453).

The spelling of 252131141201 in words is "two hundred fifty-two billion, one hundred thirty-one million, one hundred forty-one thousand, two hundred one".