1253175840 has 384 divisors, whose sum is σ = 5189184000. Its totient is φ = 276369408.

The previous prime is 1253175739. The next prime is 1253175841. The reversal of 1253175840 is 485713521.

1253175840 is a `hidden beast` number, since 12 + 53 + 17 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1253175795 and 1253175804.

It is not an unprimeable number, because it can be changed into a prime (1253175841) 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 63 ways as a sum of consecutive naturals, for example, 876246 + ... + 877674.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2^1253175840 is an apocalyptic number.

1253175840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

1253175840 is an abundant number, since it is smaller than the sum of its proper divisors (3936008160).

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

1253175840 is a wasteful number, since it uses less digits than its factorization.

1253175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1253175840 is about 35400.2237281066. The cubic root of 1253175840 is about 1078.1288588142.

The spelling of 1253175840 in words is "one billion, two hundred fifty-three million, one hundred seventy-five thousand, eight hundred forty".