33136741225 has 45 divisors (see below), whose sum is σ = 47999568983. Its totient is φ = 22691754960.

The previous prime is 33136741223. The next prime is 33136741229. The reversal of 33136741225 is 52214763133.

The square root of 33136741225 is 182035.

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., 11929226841 + 21207514384 = 109221^2 + 145628^2 .

It is not a de Polignac number, because 33136741225 - 2¹ = 33136741223 is a prime.

It is a super-2 number, since 2×33136741225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33136741223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44598204 + ... + 44598946.

Almost surely, 2^33136741225 is an apocalyptic number.

33136741225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33136741225 is the 182035-th square number.

33136741225 is the 91018-th centered octagonal number.

It is an amenable number.

33136741225 is a deficient number, since it is larger than the sum of its proper divisors (14862827758).

33136741225 is an frugal number, since it uses more digits than its factorization.

33136741225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 755 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The spelling of 33136741225 in words is "thirty-three billion, one hundred thirty-six million, seven hundred forty-one thousand, two hundred twenty-five".