125513304 has 128 divisors (see below), whose sum is σ = 372480000. Its totient is φ = 35223552.

The previous prime is 125513273. The next prime is 125513309. The reversal of 125513304 is 403315521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125513309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650232 + ... + 650424.

It is an arithmetic number, because the mean of its divisors is an integer number (2910000).

Almost surely, 2^125513304 is an apocalyptic number.

125513304 is a gapful number since it is divisible by the number (14) 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 125513304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186240000).

125513304 is an abundant number, since it is smaller than the sum of its proper divisors (246966696).

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

125513304 is a wasteful number, since it uses less digits than its factorization.

125513304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 125513304 is about 11203.2720220478. The cubic root of 125513304 is about 500.6834706434.

Adding to 125513304 its reverse (403315521), we get a palindrome (528828825).

The spelling of 125513304 in words is "one hundred twenty-five million, five hundred thirteen thousand, three hundred four".