213026465753952 has 192 divisors, whose sum is σ = 591868266474240. Its totient is φ = 66901170585600.

The previous prime is 213026465753951. The next prime is 213026465753963. The reversal of 213026465753952 is 259357564620312.

213026465753952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213026465753952² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213026465753951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098594927 + ... + 1098788817.

It is an arithmetic number, because the mean of its divisors is an integer number (3082647221220).

Almost surely, 2^{213026465753952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213026465753952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295934133237120).

213026465753952 is an abundant number, since it is smaller than the sum of its proper divisors (378841800720288).

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

213026465753952 is a wasteful number, since it uses less digits than its factorization.

213026465753952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197237 (or 197229 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 213026465753952 in words is "two hundred thirteen trillion, twenty-six billion, four hundred sixty-five million, seven hundred fifty-three thousand, nine hundred fifty-two".