719265129025 has 27 divisors (see below), whose sum is σ = 905006322633. Its totient is φ = 567070240800.

The previous prime is 719265129013. The next prime is 719265129049. The reversal of 719265129025 is 520921562917.

The square root of 719265129025 is 848095.

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

719265129025 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 4 ways, for example, as 125169486849 + 594095642176 = 353793^2 + 770776^2 .

It is not a de Polignac number, because 719265129025 - 2¹⁵ = 719265096257 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 719265129025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301072531 + ... + 301074919.

Almost surely, 2^719265129025 is an apocalyptic number.

719265129025 is the 848095-th square number.

719265129025 is the 424048-th centered octagonal number.

It is an amenable number.

719265129025 is a deficient number, since it is larger than the sum of its proper divisors (185741193608).

719265129025 is an frugal number, since it uses more digits than its factorization.

719265129025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

Multiplying 719265129025 by its sum of digits (49), we get a square (35243991322225 = 5936665²).

The spelling of 719265129025 in words is "seven hundred nineteen billion, two hundred sixty-five million, one hundred twenty-nine thousand, twenty-five".