2142637250625 has 135 divisors (see below), whose sum is σ = 4011330626589. Its totient is φ = 1101695616000.

The previous prime is 2142637250599. The next prime is 2142637250701. The reversal of 2142637250625 is 5260527362412.

The square root of 2142637250625 is 1463775.

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

2142637250625 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 637 + 2 + 5 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 1760846726961 + 381790523664 = 1326969^2 + 617892^2 .

It is not a de Polignac number, because 2142637250625 - 2¹⁹ = 2142636726337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3183710289 + ... + 3183710961.

Almost surely, 2^{2142637250625} is an apocalyptic number.

2142637250625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2142637250625 is the 1463775-th square number.

2142637250625 is the 731888-th centered octagonal number.

It is an amenable number.

2142637250625 is a deficient number, since it is larger than the sum of its proper divisors (1868693375964).

2142637250625 is an frugal number, since it uses more digits than its factorization.

2142637250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2142637250625 in words is "two trillion, one hundred forty-two billion, six hundred thirty-seven million, two hundred fifty thousand, six hundred twenty-five".