125525111040 has 648 divisors, whose sum is σ = 512905498560. Its totient is φ = 28254707712.

The previous prime is 125525111011. The next prime is 125525111057. The reversal of 125525111040 is 40111525521.

It is a happy number.

125525111040 is a `hidden beast` number, since 1 + 2 + 552 + 5 + 1 + 1 + 104 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125525110995 and 125525111013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37818501 + ... + 37821819.

Almost surely, 2^125525111040 is an apocalyptic number.

125525111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125525111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256452749280).

125525111040 is an abundant number, since it is smaller than the sum of its proper divisors (387380387520).

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

125525111040 is a wasteful number, since it uses less digits than its factorization.

125525111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 125525111040 its reverse (40111525521), we get a palindrome (165636636561).

The spelling of 125525111040 in words is "one hundred twenty-five billion, five hundred twenty-five million, one hundred eleven thousand, forty".