634513253000 has 256 divisors, whose sum is σ = 1756869004800. Its totient is φ = 211860480000.

The previous prime is 634513252987. The next prime is 634513253053. The reversal of 634513253000 is 352315436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7625621 + ... + 7708379.

It is an arithmetic number, because the mean of its divisors is an integer number (6862769550).

Almost surely, 2^634513253000 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 634513253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878434502400).

634513253000 is an abundant number, since it is smaller than the sum of its proper divisors (1122355751800).

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

634513253000 is a wasteful number, since it uses less digits than its factorization.

634513253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82849 (or 82835 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 634513253000 its reverse (352315436), we get a palindrome (634865568436).

The spelling of 634513253000 in words is "six hundred thirty-four billion, five hundred thirteen million, two hundred fifty-three thousand".