525353040 has 400 divisors, whose sum is σ = 2041744320. Its totient is φ = 124416000.

The previous prime is 525353039. The next prime is 525353071. The reversal of 525353040 is 40353525.

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 = 525352995 and 525353013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2092915 + ... + 2093165.

Almost surely, 2^525353040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020872160).

525353040 is an abundant number, since it is smaller than the sum of its proper divisors (1516391280).

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

525353040 is a wasteful number, since it uses less digits than its factorization.

525353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 525353040 is about 22920.5811444649. The cubic root of 525353040 is about 806.8951094309.

The spelling of 525353040 in words is "five hundred twenty-five million, three hundred fifty-three thousand, forty".