1005377209225 has 27 divisors (see below), whose sum is σ = 1303376821383. Its totient is φ = 769243889040.

The previous prime is 1005377209223. The next prime is 1005377209253. The reversal of 1005377209225 is 5229027735001.

The square root of 1005377209225 is 1002685.

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

It can be written as a sum of positive squares in only one way, i.e., 361935795321 + 643441413904 = 601611^2 + 802148^2 .

It is not a de Polignac number, because 1005377209225 - 2¹ = 1005377209223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005377209223) 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, 115304416 + ... + 115313134.

Almost surely, 2^{1005377209225} is an apocalyptic number.

1005377209225 is the 1002685-th square number.

1005377209225 is the 501343-rd centered octagonal number.

It is an amenable number.

1005377209225 is a deficient number, since it is larger than the sum of its proper divisors (297999612158).

1005377209225 is an frugal number, since it uses more digits than its factorization.

1005377209225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17494 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 1005377209225 in words is "one trillion, five billion, three hundred seventy-seven million, two hundred nine thousand, two hundred twenty-five".