1523903836225 has 27 divisors (see below), whose sum is σ = 1903556821467. Its totient is φ = 1210210231680.

The previous prime is 1523903836201. The next prime is 1523903836243. The reversal of 1523903836225 is 5226383093251.

The square root of 1523903836225 is 1234465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1523192867329 + 710968896 = 1234177^2 + 26664^2 .

It is not a de Polignac number, because 1523903836225 - 2⁷ = 1523903836097 is a prime.

It is a super-2 number, since 2×1523903836225² (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 26 ways as a sum of consecutive naturals, for example, 919675597 + ... + 919677253.

Almost surely, 2^{1523903836225} is an apocalyptic number.

1523903836225 is the 1234465-th square number.

1523903836225 is the 617233-rd centered octagonal number.

It is an amenable number.

1523903836225 is a deficient number, since it is larger than the sum of its proper divisors (379652985242).

1523903836225 is an frugal number, since it uses more digits than its factorization.

1523903836225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 1523903836225 by its sum of digits (49), we get a square (74671287975025 = 8641255²).

The spelling of 1523903836225 in words is "one trillion, five hundred twenty-three billion, nine hundred three million, eight hundred thirty-six thousand, two hundred twenty-five".