213958513000 has 32 divisors (see below), whose sum is σ = 500662922760. Its totient is φ = 85583404800.

The previous prime is 213958512983. The next prime is 213958513001. The reversal of 213958513000 is 315859312.

It is a happy number.

213958513000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27916394724 + 186042118276 = 167082^2 + 431326^2 .

It is not an unprimeable number, because it can be changed into a prime (213958513001) by changing a digit.

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, 106978257 + ... + 106980256.

Almost surely, 2^213958513000 is an apocalyptic number.

213958513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213958513000 is an abundant number, since it is smaller than the sum of its proper divisors (286704409760).

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

213958513000 is a wasteful number, since it uses less digits than its factorization.

213958513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213958534 (or 213958520 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 213958513000 in words is "two hundred thirteen billion, nine hundred fifty-eight million, five hundred thirteen thousand".