398312525 has 12 divisors (see below), whose sum is σ = 531900852. Its totient is φ = 294138240.

The previous prime is 398312489. The next prime is 398312557. The reversal of 398312525 is 525213893.

It can be written as a sum of positive squares in 6 ways, for example, as 21409129 + 376903396 = 4627^2 + 19414^2 .

It is not a de Polignac number, because 398312525 - 2⁶ = 398312461 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 612464 + ... + 613113.

It is an arithmetic number, because the mean of its divisors is an integer number (44325071).

Almost surely, 2^398312525 is an apocalyptic number.

It is an amenable number.

398312525 is a deficient number, since it is larger than the sum of its proper divisors (133588327).

398312525 is a wasteful number, since it uses less digits than its factorization.

398312525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225600 (or 1225595 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 398312525 is about 19957.7685375896. The cubic root of 398312525 is about 735.7687207747.

The spelling of 398312525 in words is "three hundred ninety-eight million, three hundred twelve thousand, five hundred twenty-five".