5819401225 has 81 divisors (see below), whose sum is σ = 8487372789. Its totient is φ = 3954614400.

The previous prime is 5819401207. The next prime is 5819401229. The reversal of 5819401225 is 5221049185.

The square root of 5819401225 is 76285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31843449 + 5787557776 = 5643^2 + 76076^2 .

It is not a de Polignac number, because 5819401225 - 2¹³ = 5819393033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5819401229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79717789 + ... + 79717861.

Almost surely, 2^5819401225 is an apocalyptic number.

5819401225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5819401225 is the 76285-th square number.

5819401225 is the 38143-rd centered octagonal number.

It is an amenable number.

5819401225 is a deficient number, since it is larger than the sum of its proper divisors (2667971564).

5819401225 is a wasteful number, since it uses less digits than its factorization.

5819401225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The cubic root of 5819401225 is about 1798.7028952455.

It can be divided in two parts, 5819 and 401225, that added together give a square (407044 = 638²).

The spelling of 5819401225 in words is "five billion, eight hundred nineteen million, four hundred one thousand, two hundred twenty-five".