44825395061329 has 27 divisors (see below), whose sum is σ = 46728369047763. Its totient is φ = 42999104764800.

The previous prime is 44825395061287. The next prime is 44825395061371. The reversal of 44825395061329 is 92316059352844.

The square root of 44825395061329 is 6695177.

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

It is an interprime number because it is at equal distance from previous prime (44825395061287) and next prime (44825395061371).

It can be written as a sum of positive squares in 13 ways, for example, as 11825517380625 + 32999877680704 = 3438825^2 + 5744552^2 .

It is not a de Polignac number, because 44825395061329 - 2²⁵ = 44825361506897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44825395061389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16744636339 + ... + 16744639015.

Almost surely, 2^{44825395061329} is an apocalyptic number.

44825395061329 is the 6695177-th square number.

44825395061329 is the 3347589-th centered octagonal number.

It is an amenable number.

44825395061329 is a deficient number, since it is larger than the sum of its proper divisors (1902973986434).

44825395061329 is an frugal number, since it uses more digits than its factorization.

44825395061329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 44825395061329 in words is "forty-four trillion, eight hundred twenty-five billion, three hundred ninety-five million, sixty-one thousand, three hundred twenty-nine".