1552005182025 has 135 divisors (see below), whose sum is σ = 2924796972981. Its totient is φ = 786704592960.

The previous prime is 1552005182023. The next prime is 1552005182027. The reversal of 1552005182025 is 5202815002551.

The square root of 1552005182025 is 1245795.

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

1552005182025 is a `hidden beast` number, since 1 + 5 + 520 + 0 + 51 + 82 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1552005182023) and next prime (1552005182027).

It can be written as a sum of positive squares in 4 ways, for example, as 187706429001 + 1364298753024 = 433251^2 + 1168032^2 .

It is not a de Polignac number, because 1552005182025 - 2¹ = 1552005182023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1552005182023) 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, 9885383247 + ... + 9885383403.

Almost surely, 2^{1552005182025} is an apocalyptic number.

1552005182025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1552005182025 is the 1245795-th square number.

1552005182025 is the 622898-th centered octagonal number.

It is an amenable number.

1552005182025 is a deficient number, since it is larger than the sum of its proper divisors (1372791790956).

1552005182025 is an frugal number, since it uses more digits than its factorization.

1552005182025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Multiplying 1552005182025 by its sum of digits (36), we get a square (55872186552900 = 7474770²).

The spelling of 1552005182025 in words is "one trillion, five hundred fifty-two billion, five million, one hundred eighty-two thousand, twenty-five".