251742712 has 64 divisors (see below), whose sum is σ = 522063360. Its totient is φ = 113097600.

The previous prime is 251742703. The next prime is 251742719. The reversal of 251742712 is 217247152.

It is a super-2 number, since 2×251742712² = 126748786090229888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251742719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760387 + ... + 760717.

It is an arithmetic number, because the mean of its divisors is an integer number (8157240).

Almost surely, 2^251742712 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 251742712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261031680).

251742712 is an abundant number, since it is smaller than the sum of its proper divisors (270320648).

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

251742712 is a wasteful number, since it uses less digits than its factorization.

251742712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 251742712 is about 15866.4019865879. The cubic root of 251742712 is about 631.4209231364.

Adding to 251742712 its reverse (217247152), we get a palindrome (468989864).

The spelling of 251742712 in words is "two hundred fifty-one million, seven hundred forty-two thousand, seven hundred twelve".