611719515625 has 21 divisors (see below), whose sum is σ = 764761832017. Its totient is φ = 489297400000.

The previous prime is 611719515619. The next prime is 611719515643. The reversal of 611719515625 is 526515917116.

The square root of 611719515625 is 782125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 571737113689 + 39982401936 = 756133^2 + 199956^2 .

It is not a de Polignac number, because 611719515625 - 2⁵ = 611719515593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 97762497 + ... + 97768753.

Almost surely, 2^611719515625 is an apocalyptic number.

611719515625 is the 782125-th square number.

611719515625 is the 391063-rd centered octagonal number.

It is an amenable number.

611719515625 is a deficient number, since it is larger than the sum of its proper divisors (153042316392).

611719515625 is an frugal number, since it uses more digits than its factorization.

611719515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 6262 counting only the distinct ones).

The product of its digits is 567000, while the sum is 49.

Multiplying 611719515625 by its sum of digits (49), we get a square (29974256265625 = 5474875²).

The spelling of 611719515625 in words is "six hundred eleven billion, seven hundred nineteen million, five hundred fifteen thousand, six hundred twenty-five".