1605124294225 has 9 divisors (see below), whose sum is σ = 1990361979867. Its totient is φ = 1284094367640.

The previous prime is 1605124294219. The next prime is 1605124294297. The reversal of 1605124294225 is 5224924215061.

The square root of 1605124294225 is 1266935.

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., 577844745921 + 1027279548304 = 760161^2 + 1013548^2 .

It is not a de Polignac number, because 1605124294225 - 2³ = 1605124294217 is a prime.

It is a super-2 number, since 2×1605124294225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6207982 + ... + 6461368.

Almost surely, 2^{1605124294225} is an apocalyptic number.

1605124294225 is the 1266935-th square number.

1605124294225 is the 633468-th centered octagonal number.

It is an amenable number.

1605124294225 is a deficient number, since it is larger than the sum of its proper divisors (385237685642).

1605124294225 is an frugal number, since it uses more digits than its factorization.

1605124294225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506784 (or 253392 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 1605124294225 in words is "one trillion, six hundred five billion, one hundred twenty-four million, two hundred ninety-four thousand, two hundred twenty-five".