251416536 has 128 divisors (see below), whose sum is σ = 777185280. Its totient is φ = 66134016.

The previous prime is 251416513. The next prime is 251416537. The reversal of 251416536 is 635614152.

It is a junction number, because it is equal to n+sod(n) for n = 251416497 and 251416506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251416537) 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, 133296 + ... + 135168.

It is an arithmetic number, because the mean of its divisors is an integer number (6071760).

Almost surely, 2^251416536 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 251416536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388592640).

251416536 is an abundant number, since it is smaller than the sum of its proper divisors (525768744).

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

251416536 is a wasteful number, since it uses less digits than its factorization.

251416536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 251416536 is about 15856.1198280033. The cubic root of 251416536 is about 631.1481004553.

The spelling of 251416536 in words is "two hundred fifty-one million, four hundred sixteen thousand, five hundred thirty-six".