631352517000 has 128 divisors (see below), whose sum is σ = 1975467312000. Its totient is φ = 167877984000.

The previous prime is 631352516983. The next prime is 631352517013. The reversal of 631352517000 is 715253136.

631352517000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745495 + ... + 1348505.

It is an arithmetic number, because the mean of its divisors is an integer number (15433338375).

Almost surely, 2^631352517000 is an apocalyptic number.

631352517000 is a gapful number since it is divisible by the number (60) 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 631352517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987733656000).

631352517000 is an abundant number, since it is smaller than the sum of its proper divisors (1344114795000).

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

631352517000 is a wasteful number, since it uses less digits than its factorization.

631352517000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603384 (or 603370 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 631352517000 in words is "six hundred thirty-one billion, three hundred fifty-two million, five hundred seventeen thousand".