1822621502025 has 135 divisors (see below), whose sum is σ = 3565426030551. Its totient is φ = 920320276320.

The previous prime is 1822621502011. The next prime is 1822621502029. The reversal of 1822621502025 is 5202051262281.

The square root of 1822621502025 is 1350045.

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

1822621502025 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 621 + 5 + 0 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 656143740729 + 1166477761296 = 810027^2 + 1080036^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1822621502025 - 2¹⁷ = 1822621370953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1822621502029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1154287686 + ... + 1154289264.

Almost surely, 2^{1822621502025} is an apocalyptic number.

1822621502025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1822621502025 is the 1350045-th square number.

1822621502025 is the 675023-rd centered octagonal number.

It is an amenable number.

1822621502025 is a deficient number, since it is larger than the sum of its proper divisors (1742804528526).

1822621502025 is an frugal number, since it uses more digits than its factorization.

1822621502025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 1822621502025 by its sum of digits (36), we get a square (65614374072900 = 8100270²).

The spelling of 1822621502025 in words is "one trillion, eight hundred twenty-two billion, six hundred twenty-one million, five hundred two thousand, twenty-five".