1008401825 has 12 divisors (see below), whose sum is σ = 1252919808. Its totient is φ = 805107600.

The previous prime is 1008401783. The next prime is 1008401843. The reversal of 1008401825 is 5281048001.

It is not a de Polignac number, because 1008401825 - 2²⁸ = 739966369 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27521 + ... + 52670.

It is an arithmetic number, because the mean of its divisors is an integer number (104409984).

Almost surely, 2^1008401825 is an apocalyptic number.

It is an amenable number.

1008401825 is a deficient number, since it is larger than the sum of its proper divisors (244517983).

1008401825 is an equidigital number, since it uses as much as digits as its factorization.

1008401825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80704 (or 80699 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 1008401825 is about 31755.3432511759. The cubic root of 1008401825 is about 1002.7928013330.

Adding to 1008401825 its reverse (5281048001), we get a palindrome (6289449826).

The spelling of 1008401825 in words is "one billion, eight million, four hundred one thousand, eight hundred twenty-five".