205405153031 has 16 divisors (see below), whose sum is σ = 221892924960. Its totient is φ = 189016314240.

The previous prime is 205405153001. The next prime is 205405153069. The reversal of 205405153031 is 130351504502.

It is not a de Polignac number, because 205405153031 - 2²⁶ = 205338044167 is a prime.

It is a super-2 number, since 2×205405153031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205405152985 and 205405153003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205405153001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7063301 + ... + 7092321.

It is an arithmetic number, because the mean of its divisors is an integer number (13868307810).

Almost surely, 2^205405153031 is an apocalyptic number.

205405153031 is a deficient number, since it is larger than the sum of its proper divisors (16487771929).

205405153031 is a wasteful number, since it uses less digits than its factorization.

205405153031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30706.

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 205405153031 its reverse (130351504502), we get a palindrome (335756657533).

The spelling of 205405153031 in words is "two hundred five billion, four hundred five million, one hundred fifty-three thousand, thirty-one".