253137816 has 96 divisors (see below), whose sum is σ = 738616320. Its totient is φ = 78091200.

The previous prime is 253137761. The next prime is 253137821. The reversal of 253137816 is 618731352.

253137816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48871 + ... + 53801.

It is an arithmetic number, because the mean of its divisors is an integer number (7693920).

Almost surely, 2^253137816 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 253137816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369308160).

253137816 is an abundant number, since it is smaller than the sum of its proper divisors (485478504).

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

253137816 is a wasteful number, since it uses less digits than its factorization.

253137816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4990 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 253137816 is about 15910.3053396219. The cubic root of 253137816 is about 632.5851747794.

The spelling of 253137816 in words is "two hundred fifty-three million, one hundred thirty-seven thousand, eight hundred sixteen".