205312470675 has 192 divisors, whose sum is σ = 384658046976. Its totient is φ = 95942361600.

The previous prime is 205312470661. The next prime is 205312470679. The reversal of 205312470675 is 576074213502.

It is not a de Polignac number, because 205312470675 - 2³¹ = 203164987027 is a prime.

It is a super-2 number, since 2×205312470675² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205312470679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 559434342 + ... + 559434708.

It is an arithmetic number, because the mean of its divisors is an integer number (2003427328).

Almost surely, 2^205312470675 is an apocalyptic number.

205312470675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205312470675 is a deficient number, since it is larger than the sum of its proper divisors (179345576301).

205312470675 is a wasteful number, since it uses less digits than its factorization.

205312470675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 205312470675 in words is "two hundred five billion, three hundred twelve million, four hundred seventy thousand, six hundred seventy-five".