825230511 has 60 divisors (see below), whose sum is σ = 1461446712. Its totient is φ = 462544992.

The previous prime is 825230489. The next prime is 825230531. The reversal of 825230511 is 115032528.

It is a happy number.

It is not a de Polignac number, because 825230511 - 2⁵ = 825230479 is a prime.

It is a super-2 number, since 2×825230511² = 1362010792570642242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825230531) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 208396 + ... + 212318.

Almost surely, 2^825230511 is an apocalyptic number.

825230511 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

825230511 is a deficient number, since it is larger than the sum of its proper divisors (636216201).

825230511 is a wasteful number, since it uses less digits than its factorization.

825230511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 825230511 is about 28726.8256338914. The cubic root of 825230511 is about 937.9760705264.

The spelling of 825230511 in words is "eight hundred twenty-five million, two hundred thirty thousand, five hundred eleven".