1034380532025 has 135 divisors (see below), whose sum is σ = 1944331453911. Its totient is φ = 543639029760.

The previous prime is 1034380532023. The next prime is 1034380532093. The reversal of 1034380532025 is 5202350834301.

The square root of 1034380532025 is 1017045.

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

1034380532025 is a `hidden beast` number, since 1 + 0 + 3 + 43 + 80 + 532 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 958356807849 + 76023724176 = 978957^2 + 275724^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1034380532025 - 2¹ = 1034380532023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034380532023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4439401309 + ... + 4439401541.

Almost surely, 2^{1034380532025} is an apocalyptic number.

1034380532025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1034380532025 is the 1017045-th square number.

1034380532025 is the 508523-rd centered octagonal number.

It is an amenable number.

1034380532025 is a deficient number, since it is larger than the sum of its proper divisors (909950921886).

1034380532025 is an frugal number, since it uses more digits than its factorization.

1034380532025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 1034380532025 by its sum of digits (36), we get a square (37237699152900 = 6102270²).

The spelling of 1034380532025 in words is "one trillion, thirty-four billion, three hundred eighty million, five hundred thirty-two thousand, twenty-five".