213353581520 has 40 divisors (see below), whose sum is σ = 496078041384. Its totient is φ = 85336105472.

The previous prime is 213353581477. The next prime is 213353581583. The reversal of 213353581520 is 25185353312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21085363264 + 192268218256 = 145208^2 + 438484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×213353581520³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362302 + ... + 1510818.

Almost surely, 2^213353581520 is an apocalyptic number.

213353581520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213353581520 is an abundant number, since it is smaller than the sum of its proper divisors (282724459864).

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

213353581520 is a wasteful number, since it uses less digits than its factorization.

213353581520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166487 (or 166481 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 213353581520 in words is "two hundred thirteen billion, three hundred fifty-three million, five hundred eighty-one thousand, five hundred twenty".