205196464251 has 24 divisors (see below), whose sum is σ = 304884019440. Its totient is φ = 132907276800.

The previous prime is 205196464247. The next prime is 205196464279. The reversal of 205196464251 is 152464691502.

205196464251 is a `hidden beast` number, since 2 + 0 + 51 + 96 + 464 + 2 + 51 = 666.

It is not a de Polignac number, because 205196464251 - 2² = 205196464247 is a prime.

It is a super-2 number, since 2×205196464251² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205196464197 and 205196464206.

It is not an unprimeable number, because it can be changed into a prime (205196464051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064781 + ... + 1242638.

It is an arithmetic number, because the mean of its divisors is an integer number (12703500810).

Almost surely, 2^205196464251 is an apocalyptic number.

205196464251 is a deficient number, since it is larger than the sum of its proper divisors (99687555189).

205196464251 is a wasteful number, since it uses less digits than its factorization.

205196464251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307707 (or 2307704 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 205196464251 in words is "two hundred five billion, one hundred ninety-six million, four hundred sixty-four thousand, two hundred fifty-one".