252753774134401 has 2 divisors, whose sum is σ = 252753774134402. Its totient is φ = 252753774134400.

The previous prime is 252753774134293. The next prime is 252753774134423. The reversal of 252753774134401 is 104431477357252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252682847792001 + 70926342400 = 15896001^2 + 266320^2 .

It is a cyclic number.

It is not a de Polignac number, because 252753774134401 - 2¹⁷ = 252753774003329 is a prime.

It is not a weakly prime, because it can be changed into another prime (252753774132401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126376887067200 + 126376887067201.

It is an arithmetic number, because the mean of its divisors is an integer number (126376887067201).

Almost surely, 2^{252753774134401} is an apocalyptic number.

It is an amenable number.

252753774134401 is a deficient number, since it is larger than the sum of its proper divisors (1).

252753774134401 is an equidigital number, since it uses as much as digits as its factorization.

252753774134401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19756800, while the sum is 55.

The spelling of 252753774134401 in words is "two hundred fifty-two trillion, seven hundred fifty-three billion, seven hundred seventy-four million, one hundred thirty-four thousand, four hundred one".