1025810429329 has 27 divisors (see below), whose sum is σ = 1223450863281. Its totient is φ = 857577490560.

The previous prime is 1025810429263. The next prime is 1025810429339. The reversal of 1025810429329 is 9239240185201.

The square root of 1025810429329 is 1012823.

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 761819989329 + 263990440000 = 872823^2 + 513800^2 .

It is not a de Polignac number, because 1025810429329 - 2¹⁷ = 1025810298257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1025810429339) 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, 290678437 + ... + 290681965.

Almost surely, 2^{1025810429329} is an apocalyptic number.

1025810429329 is the 1012823-rd square number.

1025810429329 is the 506412-nd centered octagonal number.

It is an amenable number.

1025810429329 is a deficient number, since it is larger than the sum of its proper divisors (197640433952).

1025810429329 is an frugal number, since it uses more digits than its factorization.

1025810429329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 1025810429329 in words is "one trillion, twenty-five billion, eight hundred ten million, four hundred twenty-nine thousand, three hundred twenty-nine".