213525640151040 has 1024 divisors, whose sum is σ = 807655202242560. Its totient is φ = 47138734080000.

The previous prime is 213525640151017. The next prime is 213525640151063. The reversal of 213525640151040 is 40151046525312.

It is an interprime number because it is at equal distance from previous prime (213525640151017) and next prime (213525640151063).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×213525640151040² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213525640151040.

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 63 ways as a sum of consecutive naturals, for example, 64102562175 + ... + 64102565505.

It is an arithmetic number, because the mean of its divisors is an integer number (788725783440).

Almost surely, 2^{213525640151040} is an apocalyptic number.

213525640151040 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 213525640151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403827601121280).

213525640151040 is an abundant number, since it is smaller than the sum of its proper divisors (594129562091520).

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

213525640151040 is an equidigital number, since it uses as much as digits as its factorization.

213525640151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 213525640151040 its reverse (40151046525312), we get a palindrome (253676686676352).

The spelling of 213525640151040 in words is "two hundred thirteen trillion, five hundred twenty-five billion, six hundred forty million, one hundred fifty-one thousand, forty".