205122551520 has 48 divisors (see below), whose sum is σ = 646136038800. Its totient is φ = 54699346944.

The previous prime is 205122551509. The next prime is 205122551563. The reversal of 205122551520 is 25155221502.

205122551520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×205122551520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213668845 + ... + 213669804.

It is an arithmetic number, because the mean of its divisors is an integer number (13461167475).

Almost surely, 2^205122551520 is an apocalyptic number.

205122551520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205122551520 is an abundant number, since it is smaller than the sum of its proper divisors (441013487280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205122551520 is a wasteful number, since it uses less digits than its factorization.

205122551520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427338667 (or 427338659 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 205122551520 in words is "two hundred five billion, one hundred twenty-two million, five hundred fifty-one thousand, five hundred twenty".