820152535 has 16 divisors (see below), whose sum is σ = 993432096. Its totient is φ = 649986048.

The previous prime is 820152521. The next prime is 820152551. The reversal of 820152535 is 535251028.

It is a cyclic number.

It is not a de Polignac number, because 820152535 - 2¹⁵ = 820119767 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820152497 and 820152506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246352 + ... + 249658.

It is an arithmetic number, because the mean of its divisors is an integer number (62089506).

Almost surely, 2^820152535 is an apocalyptic number.

820152535 is a deficient number, since it is larger than the sum of its proper divisors (173279561).

820152535 is a wasteful number, since it uses less digits than its factorization.

820152535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762.

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 820152535 is about 28638.3053793342. The cubic root of 820152535 is about 936.0481958132.

The spelling of 820152535 in words is "eight hundred twenty million, one hundred fifty-two thousand, five hundred thirty-five".