190257354225 has 99 divisors (see below), whose sum is σ = 354865155883. Its totient is φ = 101187941040.

The previous prime is 190257354187. The next prime is 190257354257. The reversal of 190257354225 is 522453752091.

The square root of 190257354225 is 436185.

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

190257354225 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 573 + 54 + 2 + 25 = 666.

190257354225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 68492647521 + 121764706704 = 261711^2 + 348948^2 .

It is not a de Polignac number, because 190257354225 - 2³⁵ = 155897615857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 529964596 + ... + 529964954.

Almost surely, 2^190257354225 is an apocalyptic number.

190257354225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190257354225 is the 436185-th square number.

190257354225 is the 218093-rd centered octagonal number.

It is an amenable number.

190257354225 is a deficient number, since it is larger than the sum of its proper divisors (164607801658).

190257354225 is an frugal number, since it uses more digits than its factorization.

190257354225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 190257354225 in words is "one hundred ninety billion, two hundred fifty-seven million, three hundred fifty-four thousand, two hundred twenty-five".