507006148608061 has 16 divisors (see below), whose sum is σ = 516246997320000. Its totient is φ = 497786908461696.

The previous prime is 507006148607977. The next prime is 507006148608079. The reversal of 507006148608061 is 160806841600705.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-507006148608061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507006148608361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077549430 + ... + 4077673768.

It is an arithmetic number, because the mean of its divisors is an integer number (32265437332500).

Almost surely, 2^{507006148608061} is an apocalyptic number.

It is an amenable number.

507006148608061 is a deficient number, since it is larger than the sum of its proper divisors (9240848711939).

507006148608061 is a wasteful number, since it uses less digits than its factorization.

507006148608061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210636.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 507006148608061 in words is "five hundred seven trillion, six billion, one hundred forty-eight million, six hundred eight thousand, sixty-one".