4212037905625 has 135 divisors (see below), whose sum is σ = 6159713253771. Its totient is φ = 2876538720000.

The previous prime is 4212037905617. The next prime is 4212037905653. The reversal of 4212037905625 is 5265097302124.

The square root of 4212037905625 is 2052325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2056966929369 + 2155070976256 = 1434213^2 + 1468016^2 .

It is not a de Polignac number, because 4212037905625 - 2³ = 4212037905617 is a prime.

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, 9594619156 + ... + 9594619594.

Almost surely, 2^{4212037905625} is an apocalyptic number.

4212037905625 is the 2052325-th square number.

4212037905625 is the 1026163-rd centered octagonal number.

It is an amenable number.

4212037905625 is a deficient number, since it is larger than the sum of its proper divisors (1947675348146).

4212037905625 is an frugal number, since it uses more digits than its factorization.

4212037905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 4212037905625 in words is "four trillion, two hundred twelve billion, thirty-seven million, nine hundred five thousand, six hundred twenty-five".