253080126 has 96 divisors (see below), whose sum is σ = 627969888. Its totient is φ = 75893760.

The previous prime is 253080119. The next prime is 253080131. The reversal of 253080126 is 621080352.

253080126 is a `hidden beast` number, since 2 + 530 + 8 + 0 + 126 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253080126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258550 + ... + 259526.

It is an arithmetic number, because the mean of its divisors is an integer number (6541353).

Almost surely, 2^253080126 is an apocalyptic number.

253080126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253080126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313984944).

253080126 is an abundant number, since it is smaller than the sum of its proper divisors (374889762).

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

253080126 is a wasteful number, since it uses less digits than its factorization.

253080126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253080126 is about 15908.4922604249. The cubic root of 253080126 is about 632.5371158314.

The spelling of 253080126 in words is "two hundred fifty-three million, eighty thousand, one hundred twenty-six".