205135513464 has 128 divisors (see below), whose sum is σ = 620198830080. Its totient is φ = 55272201600.

The previous prime is 205135513459. The next prime is 205135513469. The reversal of 205135513464 is 464315531502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205135513459) and next prime (205135513469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205135513469) 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, 99522 + ... + 648209.

It is an arithmetic number, because the mean of its divisors is an integer number (4845303360).

Almost surely, 2^205135513464 is an apocalyptic number.

205135513464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205135513464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310099415040).

205135513464 is an abundant number, since it is smaller than the sum of its proper divisors (415063316616).

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

205135513464 is a wasteful number, since it uses less digits than its factorization.

205135513464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747841 (or 747837 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 205135513464 in words is "two hundred five billion, one hundred thirty-five million, five hundred thirteen thousand, four hundred sixty-four".