1253212052401 has 2 divisors, whose sum is σ = 1253212052402. Its totient is φ = 1253212052400.

The previous prime is 1253212052399. The next prime is 1253212052437. The reversal of 1253212052401 is 1042502123521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1252718324001 + 493728400 = 1119249^2 + 22220^2 .

It is an emirp because it is prime and its reverse (1042502123521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1253212052401 - 2¹ = 1253212052399 is a prime.

Together with 1253212052399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1253212052401.

It is not a weakly prime, because it can be changed into another prime (1253212082401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626606026200 + 626606026201.

It is an arithmetic number, because the mean of its divisors is an integer number (626606026201).

Almost surely, 2^{1253212052401} is an apocalyptic number.

It is an amenable number.

1253212052401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253212052401 is an equidigital number, since it uses as much as digits as its factorization.

1253212052401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 1253212052401 its reverse (1042502123521), we get a palindrome (2295714175922).

The spelling of 1253212052401 in words is "one trillion, two hundred fifty-three billion, two hundred twelve million, fifty-two thousand, four hundred one".