33130713825 has 48 divisors (see below), whose sum is σ = 66395304000. Its totient is φ = 16063372800.

The previous prime is 33130713809. The next prime is 33130713829. The reversal of 33130713825 is 52831703133.

33130713825 is a `hidden beast` number, since 331 + 307 + 13 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 33130713825 - 2⁴ = 33130713809 is a prime.

It is a super-2 number, since 2×33130713825² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33130713825.

It is not an unprimeable number, because it can be changed into a prime (33130713829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223600 + ... + 2238449.

It is an arithmetic number, because the mean of its divisors is an integer number (1383235500).

Almost surely, 2^33130713825 is an apocalyptic number.

It is an amenable number.

33130713825 is an abundant number, since it is smaller than the sum of its proper divisors (33264590175).

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

33130713825 is a wasteful number, since it uses less digits than its factorization.

33130713825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462079 (or 4462068 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 33130713825 in words is "thirty-three billion, one hundred thirty million, seven hundred thirteen thousand, eight hundred twenty-five".