507166338641401 has 32 divisors (see below), whose sum is σ = 521449334784000. Its totient is φ = 493039351339776.

The previous prime is 507166338641377. The next prime is 507166338641429. The reversal of 507166338641401 is 104146833661705.

It is a cyclic number.

It is not a de Polignac number, because 507166338641401 - 2²¹ = 507166336544249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507166338641441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27703401490 + ... + 27703419796.

It is an arithmetic number, because the mean of its divisors is an integer number (16295291712000).

Almost surely, 2^{507166338641401} is an apocalyptic number.

It is an amenable number.

507166338641401 is a deficient number, since it is larger than the sum of its proper divisors (14282996142599).

507166338641401 is a wasteful number, since it uses less digits than its factorization.

507166338641401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24373.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 507166338641401 in words is "five hundred seven trillion, one hundred sixty-six billion, three hundred thirty-eight million, six hundred forty-one thousand, four hundred one".