1254517152 has 144 divisors (see below), whose sum is σ = 3935413440. Its totient is φ = 342752256.

The previous prime is 1254517127. The next prime is 1254517171. The reversal of 1254517152 is 2517154521.

It is a super-2 number, since 2×1254517152² = 3147626569324382208, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 353724 + ... + 357252.

It is an arithmetic number, because the mean of its divisors is an integer number (27329260).

Almost surely, 2^1254517152 is an apocalyptic number.

1254517152 is a gapful number since it is divisible by the number (12) 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 1254517152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967706720).

1254517152 is an abundant number, since it is smaller than the sum of its proper divisors (2680896288).

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

1254517152 is a wasteful number, since it uses less digits than its factorization.

1254517152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3564 counting only the distinct ones).

The product of its digits is 14000, while the sum is 33.

The square root of 1254517152 is about 35419.1636264890. The cubic root of 1254517152 is about 1078.5133729685.

The spelling of 1254517152 in words is "one billion, two hundred fifty-four million, five hundred seventeen thousand, one hundred fifty-two".