1890473753025 has 243 divisors, whose sum is σ = 4036471493691. Its totient is φ = 844766208000.

The previous prime is 1890473752967. The next prime is 1890473753033. The reversal of 1890473753025 is 5203573740981.

The square root of 1890473753025 is 1374945.

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

1890473753025 is a `hidden beast` number, since 1 + 89 + 0 + 4 + 7 + 3 + 7 + 530 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1066677905601 + 823795847424 = 1032801^2 + 907632^2 .

It is not a de Polignac number, because 1890473753025 - 2¹³ = 1890473744833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2949256705 + ... + 2949257345.

Almost surely, 2^{1890473753025} is an apocalyptic number.

1890473753025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1890473753025 is the 1374945-th square number.

1890473753025 is the 687473-rd centered octagonal number.

It is an amenable number.

1890473753025 is an abundant number, since it is smaller than the sum of its proper divisors (2145997740666).

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

1890473753025 is a wasteful number, since it uses less digits than its factorization.

1890473753025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 1890473753025 in words is "one trillion, eight hundred ninety billion, four hundred seventy-three million, seven hundred fifty-three thousand, twenty-five".