1612303155225 has 405 divisors, whose sum is σ = 3624142181517. Its totient is φ = 706517562240.

The previous prime is 1612303155193. The next prime is 1612303155233. The reversal of 1612303155225 is 5225513032161.

The square root of 1612303155225 is 1269765.

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

1612303155225 is a `hidden beast` number, since 1 + 6 + 123 + 0 + 3 + 1 + 5 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22161979161 + 1590141176064 = 148869^2 + 1261008^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 1612303155225 - 2⁵ = 1612303155193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1612303155225.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 11599303206 + ... + 11599303344.

Almost surely, 2^{1612303155225} is an apocalyptic number.

1612303155225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1612303155225 is the 1269765-th square number.

1612303155225 is the 634883-rd centered octagonal number.

It is an amenable number.

1612303155225 is an abundant number, since it is smaller than the sum of its proper divisors (2011839026292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1612303155225 is an equidigital number, since it uses as much as digits as its factorization.

1612303155225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 1612303155225 by its sum of digits (36), we get a square (58042913588100 = 7618590²).

Adding to 1612303155225 its reverse (5225513032161), we get a palindrome (6837816187386).

The spelling of 1612303155225 in words is "one trillion, six hundred twelve billion, three hundred three million, one hundred fifty-five thousand, two hundred twenty-five".