525515040 has 480 divisors, whose sum is σ = 2028571776. Its totient is φ = 127733760.

The previous prime is 525515009. The next prime is 525515041. The reversal of 525515040 is 40515525.

525515040 is a `hidden beast` number, since 525 + 51 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 525514995 and 525515013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525515041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12221259 + ... + 12221301.

Almost surely, 2^525515040 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 525515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014285888).

525515040 is an abundant number, since it is smaller than the sum of its proper divisors (1503056736).

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

525515040 is a wasteful number, since it uses less digits than its factorization.

525515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 525515040 is about 22924.1148138810. The cubic root of 525515040 is about 806.9780400597.

The spelling of 525515040 in words is "five hundred twenty-five million, five hundred fifteen thousand, forty".