125233461333 has 48 divisors (see below), whose sum is σ = 191100873600. Its totient is φ = 78809915520.

The previous prime is 125233461329. The next prime is 125233461389. The reversal of 125233461333 is 333164332521.

125233461333 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 3 + 4 + 613 + 33 = 666.

It is not a de Polignac number, because 125233461333 - 2² = 125233461329 is a prime.

It is a super-2 number, since 2×125233461333² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125233468333) 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, 76500991 + ... + 76502627.

It is an arithmetic number, because the mean of its divisors is an integer number (3981268200).

Almost surely, 2^125233461333 is an apocalyptic number.

It is an amenable number.

125233461333 is a deficient number, since it is larger than the sum of its proper divisors (65867412267).

125233461333 is a wasteful number, since it uses less digits than its factorization.

125233461333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2999 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

Adding to 125233461333 its reverse (333164332521), we get a palindrome (458397793854).

The spelling of 125233461333 in words is "one hundred twenty-five billion, two hundred thirty-three million, four hundred sixty-one thousand, three hundred thirty-three".