251616132 has 120 divisors (see below), whose sum is σ = 684918080. Its totient is φ = 80481600.

The previous prime is 251616121. The next prime is 251616163. The reversal of 251616132 is 231616152.

251616132 is a `hidden beast` number, since 2 + 516 + 16 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 251616096 and 251616105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1666257 + ... + 1666407.

Almost surely, 2^251616132 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 251616132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342459040).

251616132 is an abundant number, since it is smaller than the sum of its proper divisors (433301948).

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

251616132 is a wasteful number, since it uses less digits than its factorization.

251616132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 251616132 is about 15862.4125529504. The cubic root of 251616132 is about 631.3150760999.

The spelling of 251616132 in words is "two hundred fifty-one million, six hundred sixteen thousand, one hundred thirty-two".