507666272245311 has 64 divisors (see below), whose sum is σ = 720731823989760. Its totient is φ = 316751327262720.

The previous prime is 507666272245291. The next prime is 507666272245339. The reversal of 507666272245311 is 113542272666705.

It is not a de Polignac number, because 507666272245311 - 2¹⁹ = 507666271721023 is a prime.

It is a super-2 number, since 2×507666272245311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507666272244311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20154271905 + ... + 20154297093.

It is an arithmetic number, because the mean of its divisors is an integer number (11261434749840).

Almost surely, 2^{507666272245311} is an apocalyptic number.

507666272245311 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

507666272245311 is a deficient number, since it is larger than the sum of its proper divisors (213065551744449).

507666272245311 is a wasteful number, since it uses less digits than its factorization.

507666272245311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336.

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 507666272245311 in words is "five hundred seven trillion, six hundred sixty-six billion, two hundred seventy-two million, two hundred forty-five thousand, three hundred eleven".