1020516525 has 72 divisors (see below), whose sum is σ = 2161111680. Its totient is φ = 450414720.

The previous prime is 1020516491. The next prime is 1020516577. The reversal of 1020516525 is 5256150201.

1020516525 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 1 + 652 + 5 = 666.

It is not a de Polignac number, because 1020516525 - 2⁸ = 1020516269 is a prime.

It is a Curzon number.

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, 34504 + ... + 56846.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^1020516525 is an apocalyptic number.

1020516525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020516525 is an abundant number, since it is smaller than the sum of its proper divisors (1140595155).

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

1020516525 is a wasteful number, since it uses less digits than its factorization.

1020516525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22395 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1020516525 is about 31945.5243344040. The cubic root of 1020516525 is about 1006.7925978129.

Adding to 1020516525 its reverse (5256150201), we get a palindrome (6276666726).

The spelling of 1020516525 in words is "one billion, twenty million, five hundred sixteen thousand, five hundred twenty-five".