33552126401 has 2 divisors, whose sum is σ = 33552126402. Its totient is φ = 33552126400.

The previous prime is 33552126389. The next prime is 33552126403. The reversal of 33552126401 is 10462125533.

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., 25520382001 + 8031744400 = 159751^2 + 89620^2 .

It is a cyclic number.

It is not a de Polignac number, because 33552126401 - 2¹⁴ = 33552110017 is a prime.

It is a super-2 number, since 2×33552126401² (a number of 22 digits) contains 22 as substring.

Together with 33552126403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33552126403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16776063200 + 16776063201.

It is an arithmetic number, because the mean of its divisors is an integer number (16776063201).

Almost surely, 2^33552126401 is an apocalyptic number.

It is an amenable number.

33552126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33552126401 is an equidigital number, since it uses as much as digits as its factorization.

33552126401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 33552126401 in words is "thirty-three billion, five hundred fifty-two million, one hundred twenty-six thousand, four hundred one".