125531301042 has 384 divisors, whose sum is σ = 350106624000. Its totient is φ = 32585110272.

The previous prime is 125531301013. The next prime is 125531301047. The reversal of 125531301042 is 240103135521.

125531301042 is a `hidden beast` number, since 1 + 2 + 553 + 1 + 3 + 0 + 104 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125531300997 and 125531301015.

It is not an unprimeable number, because it can be changed into a prime (125531301047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630810459 + ... + 630810657.

It is an arithmetic number, because the mean of its divisors is an integer number (911736000).

Almost surely, 2^125531301042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125531301042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175053312000).

125531301042 is an abundant number, since it is smaller than the sum of its proper divisors (224575322958).

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

125531301042 is a wasteful number, since it uses less digits than its factorization.

125531301042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 125531301042 its reverse (240103135521), we get a palindrome (365634436563).

The spelling of 125531301042 in words is "one hundred twenty-five billion, five hundred thirty-one million, three hundred one thousand, forty-two".