2553236473225 has 9 divisors (see below), whose sum is σ = 3166023133717. Its totient is φ = 2042582787040.

The previous prime is 2553236473223. The next prime is 2553236473241. The reversal of 2553236473225 is 5223746323552.

It is a happy number.

The square root of 2553236473225 is 1597885.

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 7667278969 + 2545569194256 = 87563^2 + 1595484^2 .

It is not a de Polignac number, because 2553236473225 - 2¹ = 2553236473223 is a prime.

It is a super-2 number, since 2×2553236473225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553236473223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7829637 + ... + 8149213.

Almost surely, 2^{2553236473225} is an apocalyptic number.

2553236473225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2553236473225 is the 1597885-th square number.

2553236473225 is the 798943-rd centered octagonal number.

It is an amenable number.

2553236473225 is a deficient number, since it is larger than the sum of its proper divisors (612786660492).

2553236473225 is an frugal number, since it uses more digits than its factorization.

2553236473225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639164 (or 319582 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 49.

Multiplying 2553236473225 by its sum of digits (49), we get a square (125108587188025 = 11185195²).

The spelling of 2553236473225 in words is "two trillion, five hundred fifty-three billion, two hundred thirty-six million, four hundred seventy-three thousand, two hundred twenty-five".