1904634607225 has 135 divisors (see below), whose sum is σ = 2842469138319. Its totient is φ = 1265924368800.

The previous prime is 1904634607217. The next prime is 1904634607231. The reversal of 1904634607225 is 5227064364091.

The square root of 1904634607225 is 1380085.

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., 685668458601 + 1218966148624 = 828051^2 + 1104068^2 .

It is not a de Polignac number, because 1904634607225 - 2³ = 1904634607217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14539195410 + ... + 14539195540.

Almost surely, 2^{1904634607225} is an apocalyptic number.

1904634607225 is the 1380085-th square number.

1904634607225 is the 690043-rd centered octagonal number.

It is an amenable number.

1904634607225 is a deficient number, since it is larger than the sum of its proper divisors (937834531094).

1904634607225 is an frugal number, since it uses more digits than its factorization.

1904634607225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 1904634607225 by its sum of digits (49), we get a square (93327095754025 = 9660595²).

1904634607225 divided by its sum of digits (49) gives a square (38870094025 = 197155²).

The spelling of 1904634607225 in words is "one trillion, nine hundred four billion, six hundred thirty-four million, six hundred seven thousand, two hundred twenty-five".