4058351266225 has 81 divisors (see below), whose sum is σ = 5346713460963. Its totient is φ = 3055646688000.

The previous prime is 4058351266223. The next prime is 4058351266231. The reversal of 4058351266225 is 5226621538504.

The square root of 4058351266225 is 2014535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3235368456369 + 822982809856 = 1798713^2 + 907184^2 .

It is not a de Polignac number, because 4058351266225 - 2¹ = 4058351266223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4058351266223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12802369767 + ... + 12802370083.

Almost surely, 2^{4058351266225} is an apocalyptic number.

4058351266225 is the 2014535-th square number.

4058351266225 is the 1007268-th centered octagonal number.

It is an amenable number.

4058351266225 is a deficient number, since it is larger than the sum of its proper divisors (1288362194738).

4058351266225 is an frugal number, since it uses more digits than its factorization.

4058351266225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

Multiplying 4058351266225 by its sum of digits (49), we get a square (198859212045025 = 14101745²).

The spelling of 4058351266225 in words is "four trillion, fifty-eight billion, three hundred fifty-one million, two hundred sixty-six thousand, two hundred twenty-five".