2142256686025 has 27 divisors (see below), whose sum is σ = 2671630304103. Its totient is φ = 1704034054800.

The previous prime is 2142256686001. The next prime is 2142256686049. The reversal of 2142256686025 is 5206866522412.

The square root of 2142256686025 is 1463645.

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

It is an interprime number because it is at equal distance from previous prime (2142256686001) and next prime (2142256686049).

It can be written as a sum of positive squares in only one way, i.e., 771212406969 + 1371044279056 = 878187^2 + 1170916^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2142256686025 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142256686025.

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, 1456326040 + ... + 1456327510.

Almost surely, 2^{2142256686025} is an apocalyptic number.

2142256686025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2142256686025 is the 1463645-th square number.

2142256686025 is the 731823-rd centered octagonal number.

It is an amenable number.

2142256686025 is a deficient number, since it is larger than the sum of its proper divisors (529373618078).

2142256686025 is an frugal number, since it uses more digits than its factorization.

2142256686025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Multiplying 2142256686025 by its sum of digits (49), we get a square (104970577615225 = 10245515²).

The spelling of 2142256686025 in words is "two trillion, one hundred forty-two billion, two hundred fifty-six million, six hundred eighty-six thousand, twenty-five".