213121250837572 has 576 divisors, whose sum is σ = 519449958236160. Its totient is φ = 74062700236800.

The previous prime is 213121250837569. The next prime is 213121250837633. The reversal of 213121250837572 is 275738052121312.

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 191 ways as a sum of consecutive naturals, for example, 199365061054 + ... + 199365062122.

It is an arithmetic number, because the mean of its divisors is an integer number (901822844160).

Almost surely, 2^{213121250837572} is an apocalyptic number.

213121250837572 is a gapful number since it is divisible by the number (22) 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 213121250837572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259724979118080).

213121250837572 is an abundant number, since it is smaller than the sum of its proper divisors (306328707398588).

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

213121250837572 is a wasteful number, since it uses less digits than its factorization.

213121250837572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 213121250837572 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred fifty million, eight hundred thirty-seven thousand, five hundred seventy-two".