687513252 has 96 divisors (see below), whose sum is σ = 1808956800. Its totient is φ = 201940992.

The previous prime is 687513241. The next prime is 687513259. The reversal of 687513252 is 252315786.

It is a self number, because there is not a number n which added to its sum of digits gives 687513252.

It is not an unprimeable number, because it can be changed into a prime (687513259) 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, 343968 + ... + 345960.

It is an arithmetic number, because the mean of its divisors is an integer number (18843300).

Almost surely, 2^687513252 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 687513252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904478400).

687513252 is an abundant number, since it is smaller than the sum of its proper divisors (1121443548).

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

687513252 is a wasteful number, since it uses less digits than its factorization.

687513252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2123 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 687513252 is about 26220.4739087607. The cubic root of 687513252 is about 882.5927546043.

The spelling of 687513252 in words is "six hundred eighty-seven million, five hundred thirteen thousand, two hundred fifty-two".