1038402825 has 24 divisors (see below), whose sum is σ = 1717934688. Its totient is φ = 553457280.

The previous prime is 1038402787. The next prime is 1038402887. The reversal of 1038402825 is 5282048301.

1038402825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1038402825 - 2⁸ = 1038402569 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146002 + ... + 152948.

It is an arithmetic number, because the mean of its divisors is an integer number (71580612).

Almost surely, 2^1038402825 is an apocalyptic number.

1038402825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1038402825 is a deficient number, since it is larger than the sum of its proper divisors (679531863).

1038402825 is a wasteful number, since it uses less digits than its factorization.

1038402825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1038402825 is about 32224.2583312634. The cubic root of 1038402825 is about 1012.6404865267.

The spelling of 1038402825 in words is "one billion, thirty-eight million, four hundred two thousand, eight hundred twenty-five".