1253291130 has 320 divisors, whose sum is σ = 4244486400. Its totient is φ = 263668608.

The previous prime is 1253291113. The next prime is 1253291131. The reversal of 1253291130 is 311923521.

1253291130 is a `hidden beast` number, since 12 + 532 + 9 + 113 + 0 = 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 junction number, because it is equal to n+sod(n) for n = 1253291094 and 1253291103.

It is not an unprimeable number, because it can be changed into a prime (1253291131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3611617 + ... + 3611963.

It is an arithmetic number, because the mean of its divisors is an integer number (13264020).

Almost surely, 2^1253291130 is an apocalyptic number.

1253291130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253291130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122243200).

1253291130 is an abundant number, since it is smaller than the sum of its proper divisors (2991195270).

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

1253291130 is a wasteful number, since it uses less digits than its factorization.

1253291130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1253291130 is about 35401.8520701954. The cubic root of 1253291130 is about 1078.1619197943.

The spelling of 1253291130 in words is "one billion, two hundred fifty-three million, two hundred ninety-one thousand, one hundred thirty".