4146538053025 has 27 divisors (see below), whose sum is σ = 5375282913651. Its totient is φ = 3172823837040.

The previous prime is 4146538052977. The next prime is 4146538053089. The reversal of 4146538053025 is 5203508356414.

It is a happy number.

The square root of 4146538053025 is 2036305.

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., 1492753699089 + 2653784353936 = 1221783^2 + 1629044^2 .

It is not a de Polignac number, because 4146538053025 - 2¹³ = 4146538044833 is a prime.

It is a Duffinian number.

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, 234166222 + ... + 234183928.

Almost surely, 2^{4146538053025} is an apocalyptic number.

4146538053025 is the 2036305-th square number.

4146538053025 is the 1018153-rd centered octagonal number.

It is an amenable number.

4146538053025 is a deficient number, since it is larger than the sum of its proper divisors (1228744860626).

4146538053025 is an frugal number, since it uses more digits than its factorization.

4146538053025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35470 (or 17735 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 4146538053025 in words is "four trillion, one hundred forty-six billion, five hundred thirty-eight million, fifty-three thousand, twenty-five".