1254752016 has 120 divisors (see below), whose sum is σ = 3796703424. Its totient is φ = 356025600.

The previous prime is 1254752011. The next prime is 1254752021. The reversal of 1254752016 is 6102574521.

It is an interprime number because it is at equal distance from previous prime (1254752011) and next prime (1254752021).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1254752011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353386 + ... + 356918.

Almost surely, 2^1254752016 is an apocalyptic number.

1254752016 is a gapful number since it is divisible by the number (16) 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 1254752016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898351712).

1254752016 is an abundant number, since it is smaller than the sum of its proper divisors (2541951408).

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

1254752016 is a wasteful number, since it uses less digits than its factorization.

1254752016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1254752016 is about 35422.4789646349. The cubic root of 1254752016 is about 1078.5806732730.

The spelling of 1254752016 in words is "one billion, two hundred fifty-four million, seven hundred fifty-two thousand, sixteen".