1017873325 has 36 divisors (see below), whose sum is σ = 1473953652. Its totient is φ = 695251200.

The previous prime is 1017873281. The next prime is 1017873347. The reversal of 1017873325 is 5233787101.

It can be written as a sum of positive squares in 6 ways, for example, as 49294441 + 968578884 = 7021^2 + 31122^2 .

It is not a de Polignac number, because 1017873325 - 2²³ = 1009484717 is a prime.

It is a super-2 number, since 2×1017873325² = 2072132211493111250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 342747 + ... + 345703.

It is an arithmetic number, because the mean of its divisors is an integer number (40943157).

Almost surely, 2^1017873325 is an apocalyptic number.

It is an amenable number.

1017873325 is a deficient number, since it is larger than the sum of its proper divisors (456080327).

1017873325 is a wasteful number, since it uses less digits than its factorization.

1017873325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 1017873325 is about 31904.1270841250. The cubic root of 1017873325 is about 1005.9226282245.

The spelling of 1017873325 in words is "one billion, seventeen million, eight hundred seventy-three thousand, three hundred twenty-five".