1067493825 has 36 divisors (see below), whose sum is σ = 1995140160. Its totient is φ = 544573920.

The previous prime is 1067493821. The next prime is 1067493851. The reversal of 1067493825 is 5283947601.

1067493825 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1067493825 - 2² = 1067493821 is a prime.

It is a super-2 number, since 2×1067493825² = 2279086132826261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1067493825 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067493821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97965 + ... + 108314.

It is an arithmetic number, because the mean of its divisors is an integer number (55420560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1067493825 = 2134987650, but 3⋅1067493825 = 3202481475 is not.

Almost surely, 2^1067493825 is an apocalyptic number.

1067493825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1067493825 is a deficient number, since it is larger than the sum of its proper divisors (927646335).

1067493825 is a wasteful number, since it uses less digits than its factorization.

1067493825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206318 (or 206310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1067493825 is about 32672.5240071838. The cubic root of 1067493825 is about 1022.0099496327.

The spelling of 1067493825 in words is "one billion, sixty-seven million, four hundred ninety-three thousand, eight hundred twenty-five".