398192550625 has 45 divisors (see below), whose sum is σ = 510291498981. Its totient is φ = 310615746000.

The previous prime is 398192550557. The next prime is 398192550643. The reversal of 398192550625 is 526055291893.

The square root of 398192550625 is 631025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 31218295969 + 366974254656 = 176687^2 + 605784^2 .

It is not a de Polignac number, because 398192550625 - 2¹¹ = 398192548577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 678351582 + ... + 678352168.

Almost surely, 2^398192550625 is an apocalyptic number.

398192550625 is the 631025-th square number.

398192550625 is the 315513-rd centered octagonal number.

It is an amenable number.

398192550625 is a deficient number, since it is larger than the sum of its proper divisors (112098948356).

398192550625 is an frugal number, since it uses more digits than its factorization.

398192550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 398192550625 in words is "three hundred ninety-eight billion, one hundred ninety-two million, five hundred fifty thousand, six hundred twenty-five".