54119195730625 has 135 divisors (see below), whose sum is σ = 71526884533533. Its totient is φ = 40933160352000.

The previous prime is 54119195730571. The next prime is 54119195730637. The reversal of 54119195730625 is 52603759191145.

The square root of 54119195730625 is 7356575.

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

It can be written as a sum of positive squares in 22 ways, for example, as 52157616212529 + 1961579518096 = 7222023^2 + 1400564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-54119195730625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54119195730625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 389346731806 + ... + 389346731944.

Almost surely, 2^{54119195730625} is an apocalyptic number.

54119195730625 is the 7356575-th square number.

54119195730625 is the 3678288-th centered octagonal number.

It is an amenable number.

54119195730625 is a deficient number, since it is larger than the sum of its proper divisors (17407688802908).

54119195730625 is an frugal number, since it uses more digits than its factorization.

54119195730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 58.

The spelling of 54119195730625 in words is "fifty-four trillion, one hundred nineteen billion, one hundred ninety-five million, seven hundred thirty thousand, six hundred twenty-five".