213045125520 has 160 divisors (see below), whose sum is σ = 663946611840. Its totient is φ = 56511037440.

The previous prime is 213045125507. The next prime is 213045125549. The reversal of 213045125520 is 25521540312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52981110 + ... + 52985130.

It is an arithmetic number, because the mean of its divisors is an integer number (4149666324).

Almost surely, 2^213045125520 is an apocalyptic number.

213045125520 is a gapful number since it is divisible by the number (20) 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 213045125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331973305920).

213045125520 is an abundant number, since it is smaller than the sum of its proper divisors (450901486320).

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

213045125520 is a wasteful number, since it uses less digits than its factorization.

213045125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 213045125520 its reverse (25521540312), we get a palindrome (238566665832).

The spelling of 213045125520 in words is "two hundred thirteen billion, forty-five million, one hundred twenty-five thousand, five hundred twenty".