213037603362528 has 288 divisors, whose sum is σ = 665999980652160. Its totient is φ = 59421457105920.

The previous prime is 213037603362469. The next prime is 213037603362541. The reversal of 213037603362528 is 825263306730312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390314518 + ... + 390859946.

It is an arithmetic number, because the mean of its divisors is an integer number (2312499932820).

Almost surely, 2^{213037603362528} is an apocalyptic number.

213037603362528 is a gapful number since it is divisible by the number (28) 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 213037603362528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332999990326080).

213037603362528 is an abundant number, since it is smaller than the sum of its proper divisors (452962377289632).

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

213037603362528 is a wasteful number, since it uses less digits than its factorization.

213037603362528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547430 (or 547415 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 213037603362528 in words is "two hundred thirteen trillion, thirty-seven billion, six hundred three million, three hundred sixty-two thousand, five hundred twenty-eight".