537123578401 has 2 divisors, whose sum is σ = 537123578402. Its totient is φ = 537123578400.

The previous prime is 537123578393. The next prime is 537123578423. The reversal of 537123578401 is 104875321735.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 504101420001 + 33022158400 = 710001^2 + 181720^2 .

It is a cyclic number.

It is not a de Polignac number, because 537123578401 - 2³ = 537123578393 is a prime.

It is not a weakly prime, because it can be changed into another prime (537123578461) 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, 268561789200 + 268561789201.

It is an arithmetic number, because the mean of its divisors is an integer number (268561789201).

Almost surely, 2^537123578401 is an apocalyptic number.

It is an amenable number.

537123578401 is a deficient number, since it is larger than the sum of its proper divisors (1).

537123578401 is an equidigital number, since it uses as much as digits as its factorization.

537123578401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 537123578401 in words is "five hundred thirty-seven billion, one hundred twenty-three million, five hundred seventy-eight thousand, four hundred one".