205461235072951 has 32 divisors (see below), whose sum is σ = 247919269324608. Its totient is φ = 167745394851840.

The previous prime is 205461235072937. The next prime is 205461235072967. The reversal of 205461235072951 is 159270532164502.

It is a happy number.

It is not a de Polignac number, because 205461235072951 - 2⁹ = 205461235072439 is a prime.

It is a super-2 number, since 2×205461235072951² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205461235072931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90503031 + ... + 92745463.

It is an arithmetic number, because the mean of its divisors is an integer number (7747477166394).

Almost surely, 2^{205461235072951} is an apocalyptic number.

205461235072951 is a deficient number, since it is larger than the sum of its proper divisors (42458034251657).

205461235072951 is a wasteful number, since it uses less digits than its factorization.

205461235072951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259811.

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 205461235072951 in words is "two hundred five trillion, four hundred sixty-one billion, two hundred thirty-five million, seventy-two thousand, nine hundred fifty-one".