190597730625 has 45 divisors (see below), whose sum is σ = 344083779039. Its totient is φ = 101634660000.

The previous prime is 190597730611. The next prime is 190597730647. The reversal of 190597730625 is 526037795091.

The square root of 190597730625 is 436575.

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

190597730625 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 9 + 7 + 7 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 70335813681 + 120261916944 = 265209^2 + 346788^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 190597730625 - 2³⁵ = 156237992257 is a prime.

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, 32740215 + ... + 32746035.

Almost surely, 2^190597730625 is an apocalyptic number.

190597730625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190597730625 is the 436575-th square number.

190597730625 is the 218288-th centered octagonal number.

It is an amenable number.

190597730625 is a deficient number, since it is larger than the sum of its proper divisors (153486048414).

190597730625 is an frugal number, since it uses more digits than its factorization.

190597730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 190597730625 in words is "one hundred ninety billion, five hundred ninety-seven million, seven hundred thirty thousand, six hundred twenty-five".