251605603200 has 384 divisors, whose sum is σ = 1002832600320. Its totient is φ = 54126673920.

The previous prime is 251605603199. The next prime is 251605603201. The reversal of 251605603200 is 2306506152.

It is an interprime number because it is at equal distance from previous prime (251605603199) and next prime (251605603201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251605603201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032279 + ... + 1252521.

It is an arithmetic number, because the mean of its divisors is an integer number (2611543230).

Almost surely, 2^251605603200 is an apocalyptic number.

251605603200 is a gapful number since it is divisible by the number (20) 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 251605603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501416300160).

251605603200 is an abundant number, since it is smaller than the sum of its proper divisors (751226997120).

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

251605603200 is a wasteful number, since it uses less digits than its factorization.

251605603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220294 (or 220277 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 251605603200 in words is "two hundred fifty-one billion, six hundred five million, six hundred three thousand, two hundred".