2419689136225 has 27 divisors (see below), whose sum is σ = 3052709885113. Its totient is φ = 1902581080640.

The previous prime is 2419689136217. The next prime is 2419689136231. The reversal of 2419689136225 is 5226319869142.

It is a happy number.

The square root of 2419689136225 is 1555535.

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 52756117969 + 2366933018256 = 229687^2 + 1538484^2 .

It is not a de Polignac number, because 2419689136225 - 2³ = 2419689136217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2419689136225.

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, 458880189 + ... + 458885461.

Almost surely, 2^{2419689136225} is an apocalyptic number.

2419689136225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2419689136225 is the 1555535-th square number.

2419689136225 is the 777768-th centered octagonal number.

It is an amenable number.

2419689136225 is a deficient number, since it is larger than the sum of its proper divisors (633020748888).

2419689136225 is an frugal number, since it uses more digits than its factorization.

2419689136225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 5337 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 58.

The spelling of 2419689136225 in words is "two trillion, four hundred nineteen billion, six hundred eighty-nine million, one hundred thirty-six thousand, two hundred twenty-five".