33412503926025 has 81 divisors (see below), whose sum is σ = 69617466657063. Its totient is φ = 15274010052000.

The previous prime is 33412503925951. The next prime is 33412503926041. The reversal of 33412503926025 is 52062930521433.

The square root of 33412503926025 is 5780355.

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

33412503926025 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 2 + 5 + 0 + 39 + 2 + 602 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12028501413369 + 21384002512656 = 3468213^2 + 4624284^2 .

It is not a de Polignac number, because 33412503926025 - 2⁹ = 33412503925513 is a prime.

It is a super-4 number, since 4×33412503926025⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 606909750 + ... + 606964800.

Almost surely, 2^{33412503926025} is an apocalyptic number.

33412503926025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33412503926025 is the 5780355-th square number.

33412503926025 is the 2890178-th centered octagonal number.

It is an amenable number.

33412503926025 is an abundant number, since it is smaller than the sum of its proper divisors (36204962731038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33412503926025 is an frugal number, since it uses more digits than its factorization.

33412503926025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110132 (or 55066 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 33412503926025 in words is "thirty-three trillion, four hundred twelve billion, five hundred three million, nine hundred twenty-six thousand, twenty-five".