33742564057225 has 9 divisors (see below), whose sum is σ = 41840815445767. Its totient is φ = 26994028010440.

The previous prime is 33742564057141. The next prime is 33742564057229. The reversal of 33742564057225 is 52275046524733.

The square root of 33742564057225 is 5808835.

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., 12147323060601 + 21595240996624 = 3485301^2 + 4647068^2 .

It is not a de Polignac number, because 33742564057225 - 2⁹ = 33742564056713 is a prime.

It is a super-2 number, since 2×33742564057225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33742564057229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28463292 + ... + 29625058.

Almost surely, 2^{33742564057225} is an apocalyptic number.

33742564057225 is the 5808835-th square number.

33742564057225 is the 2904418-th centered octagonal number.

It is an amenable number.

33742564057225 is a deficient number, since it is larger than the sum of its proper divisors (8098251388542).

33742564057225 is an frugal number, since it uses more digits than its factorization.

33742564057225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323544 (or 1161772 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 55.

The spelling of 33742564057225 in words is "thirty-three trillion, seven hundred forty-two billion, five hundred sixty-four million, fifty-seven thousand, two hundred twenty-five".