7513725240 has 192 divisors, whose sum is σ = 28942018560. Its totient is φ = 1717407360.

The previous prime is 7513725227. The next prime is 7513725269. The reversal of 7513725240 is 425273157.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7513725195 and 7513725204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12825 + ... + 123255.

It is an arithmetic number, because the mean of its divisors is an integer number (150739680).

Almost surely, 2^7513725240 is an apocalyptic number.

7513725240 is a gapful number since it is divisible by the number (70) 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 7513725240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471009280).

7513725240 is an abundant number, since it is smaller than the sum of its proper divisors (21428293320).

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

7513725240 is a wasteful number, since it uses less digits than its factorization.

7513725240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110464 (or 110448 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7513725240 is about 86681.7468674922. The cubic root of 7513725240 is about 1958.6271484473.

Adding to 7513725240 its reverse (425273157), we get a palindrome (7938998397).

The spelling of 7513725240 in words is "seven billion, five hundred thirteen million, seven hundred twenty-five thousand, two hundred forty".