507216612705 has 64 divisors (see below), whose sum is σ = 934460928000. Its totient is φ = 232344529920.

The previous prime is 507216612691. The next prime is 507216612767.

It is a happy number.

507216612705 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 507216612705 - 2⁴ = 507216612689 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930121 + ... + 1370969.

It is an arithmetic number, because the mean of its divisors is an integer number (14600952000).

Almost surely, 2^507216612705 is an apocalyptic number.

507216612705 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

507216612705 is a deficient number, since it is larger than the sum of its proper divisors (427244315295).

507216612705 is a wasteful number, since it uses less digits than its factorization.

507216612705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441254.

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 507216612705 in words is "five hundred seven billion, two hundred sixteen million, six hundred twelve thousand, seven hundred five".