535213250208 has 864 divisors, whose sum is σ = 2018722305600. Its totient is φ = 132949942272.

The previous prime is 535213250111. The next prime is 535213250281. The reversal of 535213250208 is 802052312535.

535213250208 is a `hidden beast` number, since 53 + 521 + 32 + 50 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×535213250208² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 812159383 + ... + 812160041.

It is an arithmetic number, because the mean of its divisors is an integer number (2336484150).

Almost surely, 2^535213250208 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 535213250208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009361152800).

535213250208 is an abundant number, since it is smaller than the sum of its proper divisors (1483509055392).

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

535213250208 is a wasteful number, since it uses less digits than its factorization.

535213250208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 535213250208 in words is "five hundred thirty-five billion, two hundred thirteen million, two hundred fifty thousand, two hundred eight".