253986516 has 168 divisors, whose sum is σ = 796193664. Its totient is φ = 69284160.

The previous prime is 253986497. The next prime is 253986541. The reversal of 253986516 is 615689352.

253986516 is a `hidden beast` number, since 2 + 53 + 9 + 86 + 516 = 666.

253986516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (388800) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 469206 + ... + 469746.

It is an arithmetic number, because the mean of its divisors is an integer number (4739248).

Almost surely, 2^253986516 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 253986516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398096832).

253986516 is an abundant number, since it is smaller than the sum of its proper divisors (542207148).

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

253986516 is a wasteful number, since it uses less digits than its factorization.

253986516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 253986516 is about 15936.9544141909. The cubic root of 253986516 is about 633.2913463085.

The spelling of 253986516 in words is "two hundred fifty-three million, nine hundred eighty-six thousand, five hundred sixteen".