507780971217 has 48 divisors (see below), whose sum is σ = 810181077888. Its totient is φ = 304469487360.

The previous prime is 507780971189. The next prime is 507780971267. The reversal of 507780971217 is 712179087705.

507780971217 is a `hidden beast` number, since 507 + 7 + 8 + 0 + 9 + 7 + 121 + 7 = 666.

It is not a de Polignac number, because 507780971217 - 2⁶ = 507780971153 is a prime.

It is a super-2 number, since 2×507780971217² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (507780971267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3707988 + ... + 3842490.

It is an arithmetic number, because the mean of its divisors is an integer number (16878772456).

Almost surely, 2^507780971217 is an apocalyptic number.

It is an amenable number.

507780971217 is a deficient number, since it is larger than the sum of its proper divisors (302400106671).

507780971217 is a wasteful number, since it uses less digits than its factorization.

507780971217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135350 (or 135347 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 54.

The spelling of 507780971217 in words is "five hundred seven billion, seven hundred eighty million, nine hundred seventy-one thousand, two hundred seventeen".